Linear Equation Worksheets (printable, online, answers, examples) - Free Printable

Here are the step-by-step solutions for each linear equation.

1. $3x - 20 + 2x = 10$
* Combine like terms ($3x$ and $2x$): $5x - 20 = 10$
* Add 20 to both sides: $5x = 30$
* Divide by 5: $x = 6$

2. $-x - 5 + 3x = 3$
* Combine like terms ($-x$ and $3x$): $2x - 5 = 3$
* Add 5 to both sides: $2x = 8$
* Divide by 2: $x = 4$

3. $x - 8 + 2x = 7$
* Combine like terms ($x$ and $2x$): $3x - 8 = 7$
* Add 8 to both sides: $3x = 15$
* Divide by 3: $x = 5$

4. $-6 - x + 3x = 2$
* Combine like terms ($-x$ and $3x$): $-6 + 2x = 2$
* Add 6 to both sides: $2x = 8$
* Divide by 2: $x = 4$

5. $-5 + 3x + x = 7$
* Combine like terms ($3x$ and $x$): $-5 + 4x = 7$
* Add 5 to both sides: $4x = 12$
* Divide by 4: $x = 3$

6. $-2 + 3x - 2x = 4$
* Combine like terms ($3x$ and $-2x$): $-2 + x = 4$
* Add 2 to both sides: $x = 6$

7. $3x - 7 + 2x = 18$
* Combine like terms ($3x$ and $2x$): $5x - 7 = 18$
* Add 7 to both sides: $5x = 25$
* Divide by 5: $x = 5$

8. $-16 + x + 3x = 8$
* Combine like terms ($x$ and $3x$): $-16 + 4x = 8$
* Add 16 to both sides: $4x = 24$
* Divide by 4: $x = 6$

9. $-2 + x + 2x = 7$
* Combine like terms ($x$ and $2x$): $-2 + 3x = 7$
* Add 2 to both sides: $3x = 9$
* Divide by 3: $x = 3$

10. $-x - 3 + 2x = 3$
* Combine like terms ($-x$ and $2x$): $x - 3 = 3$
* Add 3 to both sides: $x = 6$

Final Answer:
1. $x = 6$
2. $x = 4$
3. $x = 5$
4. $x = 4$
5. $x = 3$
6. $x = 6$
7. $x = 5$
8. $x = 6$
9. $x = 3$
10. $x = 6$