2x+29=8x-13

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Solution for 2x+29=8x-13 equation:


Simplifying
2x + 29 = 8x + -13

Reorder the terms:
29 + 2x = 8x + -13

Reorder the terms:
29 + 2x = -13 + 8x

Solving
29 + 2x = -13 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
29 + 2x + -8x = -13 + 8x + -8x

Combine like terms: 2x + -8x = -6x
29 + -6x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
29 + -6x = -13 + 0
29 + -6x = -13

Add '-29' to each side of the equation.
29 + -29 + -6x = -13 + -29

Combine like terms: 29 + -29 = 0
0 + -6x = -13 + -29
-6x = -13 + -29

Combine like terms: -13 + -29 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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