x+29=8x-20

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Solution for x+29=8x-20 equation:


Simplifying
x + 29 = 8x + -20

Reorder the terms:
29 + x = 8x + -20

Reorder the terms:
29 + x = -20 + 8x

Solving
29 + x = -20 + 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 + x + -8x = -20 + 8x + -8x

Combine like terms: x + -8x = -7x
29 + -7x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
29 + -7x = -20 + 0
29 + -7x = -20

Add '-29' to each side of the equation.
29 + -29 + -7x = -20 + -29

Combine like terms: 29 + -29 = 0
0 + -7x = -20 + -29
-7x = -20 + -29

Combine like terms: -20 + -29 = -49
-7x = -49

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

Simplifying
x = 7

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