2x+71=8x-7

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Solution for 2x+71=8x-7 equation:


Simplifying
2x + 71 = 8x + -7

Reorder the terms:
71 + 2x = 8x + -7

Reorder the terms:
71 + 2x = -7 + 8x

Solving
71 + 2x = -7 + 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.
71 + 2x + -8x = -7 + 8x + -8x

Combine like terms: 2x + -8x = -6x
71 + -6x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
71 + -6x = -7 + 0
71 + -6x = -7

Add '-71' to each side of the equation.
71 + -71 + -6x = -7 + -71

Combine like terms: 71 + -71 = 0
0 + -6x = -7 + -71
-6x = -7 + -71

Combine like terms: -7 + -71 = -78
-6x = -78

Divide each side by '-6'.
x = 13

Simplifying
x = 13

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