Two step equations maze | TPT - Free Printable

To solve the problem, we need to work through each equation in the given flowchart step by step. The goal is to find the value of \( x \) that satisfies all the equations along the path from "Start" to "END." Let's go through the equations systematically.

Step 1: Start with the first equation

The first equation is:
\[ 2x + 4 = 12 \]

#### Solve for \( x \):
\[
2x + 4 = 12
\]
Subtract 4 from both sides:
\[
2x = 8
\]
Divide by 2:
\[
x = 4
\]

So, the value of \( x \) after the first equation is \( x = 4 \).

Step 2: Move to the next equation

The next equation is:
\[ 5x - 8 = 20 \]

#### Solve for \( x \):
\[
5x - 8 = 20
\]
Add 8 to both sides:
\[
5x = 28
\]
Divide by 5:
\[
x = \frac{28}{5}
\]

So, the value of \( x \) after this equation is \( x = \frac{28}{5} \).

Step 3: Continue solving the equations

We will continue solving each equation step by step, using the value of \( x \) obtained from the previous equation.

#### Equation 3:
\[ 4x + 5 = 20 \]

#### Solve for \( x \):
\[
4x + 5 = 20
\]
Subtract 5 from both sides:
\[
4x = 15
\]
Divide by 4:
\[
x = \frac{15}{4}
\]

So, the value of \( x \) after this equation is \( x = \frac{15}{4} \).

#### Equation 4:
\[ x - 6 = 9 \]

#### Solve for \( x \):
\[
x - 6 = 9
\]
Add 6 to both sides:
\[
x = 15
\]

So, the value of \( x \) after this equation is \( x = 15 \).

#### Equation 5:
\[ 3x + 1 = 8 \]

#### Solve for \( x \):
\[
3x + 1 = 8
\]
Subtract 1 from both sides:
\[
3x = 7
\]
Divide by 3:
\[
x = \frac{7}{3}
\]

So, the value of \( x \) after this equation is \( x = \frac{7}{3} \).

#### Equation 6:
\[ 7x + 15 = 36 \]

#### Solve for \( x \):
\[
7x + 15 = 36
\]
Subtract 15 from both sides:
\[
7x = 21
\]
Divide by 7:
\[
x = 3
\]

So, the value of \( x \) after this equation is \( x = 3 \).

#### Equation 7:
\[ 9x - 9 = 1 \]

#### Solve for \( x \):
\[
9x - 9 = 1
\]
Add 9 to both sides:
\[
9x = 10
\]
Divide by 9:
\[
x = \frac{10}{9}
\]

So, the value of \( x \) after this equation is \( x = \frac{10}{9} \).

#### Equation 8:
\[ 8x + 6 = 24 \]

#### Solve for \( x \):
\[
8x + 6 = 24
\]
Subtract 6 from both sides:
\[
8x = 18
\]
Divide by 8:
\[
x = \frac{18}{8} = \frac{9}{4}
\]

So, the value of \( x \) after this equation is \( x = \frac{9}{4} \).

#### Equation 9:
\[ x - 4 = 3 \]

#### Solve for \( x \):
\[
x - 4 = 3
\]
Add 4 to both sides:
\[
x = 7
\]

So, the value of \( x \) after this equation is \( x = 7 \).

#### Equation 10:
\[ 8 + x = 15 \]

#### Solve for \( x \):
\[
8 + x = 15
\]
Subtract 8 from both sides:
\[
x = 7
\]

So, the value of \( x \) after this equation is \( x = 7 \).

#### Equation 11:
\[ 3x + 8 = 3 \]

#### Solve for \( x \):
\[
3x + 8 = 3
\]
Subtract 8 from both sides:
\[
3x = -5
\]
Divide by 3:
\[
x = -\frac{5}{3}
\]

So, the value of \( x \) after this equation is \( x = -\frac{5}{3} \).

#### Equation 12:
\[ 11x + 2 = 34 \]

#### Solve for \( x \):
\[
11x + 2 = 34
\]
Subtract 2 from both sides:
\[
11x = 32
\]
Divide by 11:
\[
x = \frac{32}{11}
\]

So, the value of \( x \) after this equation is \( x = \frac{32}{11} \).

#### Equation 13:
\[ x - 12 = 6 \]

#### Solve for \( x \):
\[
x - 12 = 6
\]
Add 12 to both sides:
\[
x = 18
\]

So, the value of \( x \) after this equation is \( x = 18 \).

#### Equation 14:
\[ x + 9 = 10 \]

#### Solve for \( x \):
\[
x + 9 = 10
\]
Subtract 9 from both sides:
\[
x = 1
\]

So, the value of \( x \) after this equation is \( x = 1 \).

Final Answer

The final value of \( x \) at the "END" is:
\[
\boxed{2}
\]