Math Worksheet Collection: Solving Two-Step Equations | Media4Math - Free Printable

To solve for \( x \) in each equation, we will isolate \( x \) step by step. Let's go through each equation one by one.

Equation 1: \( 3x + 3 = 57 \)

1. Subtract 3 from both sides:
\[
3x + 3 - 3 = 57 - 3
\]
\[
3x = 54
\]
2. Divide both sides by 3:
\[
\frac{3x}{3} = \frac{54}{3}
\]
\[
x = 18
\]

Equation 2: \( x \div 4 + 10 = 21 \)

1. Subtract 10 from both sides:
\[
x \div 4 + 10 - 10 = 21 - 10
\]
\[
x \div 4 = 11
\]
2. Multiply both sides by 4:
\[
4 \cdot \left( x \div 4 \right) = 4 \cdot 11
\]
\[
x = 44
\]

Equation 3: \( 3x - 2 = 4 \)

1. Add 2 to both sides:
\[
3x - 2 + 2 = 4 + 2
\]
\[
3x = 6
\]
2. Divide both sides by 3:
\[
\frac{3x}{3} = \frac{6}{3}
\]
\[
x = 2
\]

Equation 4: \( x \div 11 + 12 = 22 \)

1. Subtract 12 from both sides:
\[
x \div 11 + 12 - 12 = 22 - 12
\]
\[
x \div 11 = 10
\]
2. Multiply both sides by 11:
\[
11 \cdot \left( x \div 11 \right) = 11 \cdot 10
\]
\[
x = 110
\]

Equation 5: \( 9x + 1 = 100 \)

1. Subtract 1 from both sides:
\[
9x + 1 - 1 = 100 - 1
\]
\[
9x = 99
\]
2. Divide both sides by 9:
\[
\frac{9x}{9} = \frac{99}{9}
\]
\[
x = 11
\]

Equation 6: \( 7x - 16 = 68 \)

1. Add 16 to both sides:
\[
7x - 16 + 16 = 68 + 16
\]
\[
7x = 84
\]
2. Divide both sides by 7:
\[
\frac{7x}{7} = \frac{84}{7}
\]
\[
x = 12
\]

Equation 7: \( x \div 6 + 18 = 22 \)

1. Subtract 18 from both sides:
\[
x \div 6 + 18 - 18 = 22 - 18
\]
\[
x \div 6 = 4
\]
2. Multiply both sides by 6:
\[
6 \cdot \left( x \div 6 \right) = 6 \cdot 4
\]
\[
x = 24
\]

Equation 8: \( x \div 11 - 1 = 10 \)

1. Add 1 to both sides:
\[
x \div 11 - 1 + 1 = 10 + 1
\]
\[
x \div 11 = 11
\]
2. Multiply both sides by 11:
\[
11 \cdot \left( x \div 11 \right) = 11 \cdot 11
\]
\[
x = 121
\]

Equation 9: \( x \div 9 + 13 = 20 \)

1. Subtract 13 from both sides:
\[
x \div 9 + 13 - 13 = 20 - 13
\]
\[
x \div 9 = 7
\]
2. Multiply both sides by 9:
\[
9 \cdot \left( x \div 9 \right) = 9 \cdot 7
\]
\[
x = 63
\]

Equation 10: \( 2x - 1 = 19 \)

1. Add 1 to both sides:
\[
2x - 1 + 1 = 19 + 1
\]
\[
2x = 20
\]
2. Divide both sides by 2:
\[
\frac{2x}{2} = \frac{20}{2}
\]
\[
x = 10
\]

Final Answers:

\[
\boxed{18, 44, 2, 110, 11, 12, 24, 121, 63, 10}
\]