Free 8th Grade Math Worksheets—Printable w/ Answers — Mashup Math - Free Printable

Here are the step-by-step solutions for each equation on the worksheet.

1) $x + 142 = 16x + 7$
* Subtract $x$ from both sides: $142 = 15x + 7$
* Subtract 7 from both sides: $135 = 15x$
* Divide by 15: $x = 9$

2) $8x = 2x - 6$
* Subtract $2x$ from both sides: $6x = -6$
* Divide by 6: $x = -1$

3) $1 + 9x = 7 + 8x$
* Subtract $8x$ from both sides: $1 + x = 7$
* Subtract 1 from both sides: $x = 6$

4) $-8x + 8 = 10 + 5 - 9x$
* Combine numbers on the right side: $-8x + 8 = 15 - 9x$
* Add $9x$ to both sides: $x + 8 = 15$
* Subtract 8 from both sides: $x = 7$

5) $7x + 2 = -10x + 2$
* Add $10x$ to both sides: $17x + 2 = 2$
* Subtract 2 from both sides: $17x = 0$
* Divide by 17: $x = 0$

6) $55 - x = 2x + 13$
* Add $x$ to both sides: $55 = 3x + 13$
* Subtract 13 from both sides: $42 = 3x$
* Divide by 3: $x = 14$

7) $-3x - 4x = -8x + 1$
* Combine $x$'s on the left side: $-7x = -8x + 1$
* Add $8x$ to both sides: $x = 1$

8) $5 - 5x + 6 = 4 - 4x$
* Combine numbers on the left side: $11 - 5x = 4 - 4x$
* Add $5x$ to both sides: $11 = 4 + x$
* Subtract 4 from both sides: $x = 7$

9) $7x - 5 = 9x + 9$
* Subtract $7x$ from both sides: $-5 = 2x + 9$
* Subtract 9 from both sides: $-14 = 2x$
* Divide by 2: $x = -7$

10) $-20 - 8x = 5x - 7$
* Add $8x$ to both sides: $-20 = 13x - 7$
* Add 7 to both sides: $-13 = 13x$
* Divide by 13: $x = -1$

11) $100 - x = 6 + 11x + 10$
* Combine numbers on the right side: $100 - x = 16 + 11x$
* Add $x$ to both sides: $100 = 16 + 12x$
* Subtract 16 from both sides: $84 = 12x$
* Divide by 12: $x = 7$

12) $-5 + 5x = 10x + 4 - 6x$
* Combine $x$'s on the right side: $-5 + 5x = 4x + 4$
* Subtract $4x$ from both sides: $-5 + x = 4$
* Add 5 to both sides: $x = 9$

13) $x - 9 - 5x = 2 - 5x$
* Combine $x$'s on the left side: $-4x - 9 = 2 - 5x$
* Add $5x$ to both sides: $x - 9 = 2$
* Add 9 to both sides: $x = 11$

14) $38 + 12x = 44 - x$
* Add $x$ to both sides: $38 + 13x = 44$
* Subtract 38 from both sides: $13x = 6$
* Divide by 13: $x = \frac{6}{13}$

15) $3x - 10 = 4x - 8$
* Subtract $3x$ from both sides: $-10 = x - 8$
* Add 8 to both sides: $x = -2$

16) $x + 2 = 2x + 14$
* Subtract $x$ from both sides: $2 = x + 14$
* Subtract 14 from both sides: $x = -12$

Final Answer:
1) x = 9
2) x = -1
3) x = 6
4) x = 7
5) x = 0
6) x = 14
7) x = 1
8) x = 7
9) x = -7
10) x = -1
11) x = 7
12) x = 9
13) x = 11
14) x = 6/13
15) x = -2
16) x = -12