-8(x-2)=2-7x

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Solution for -8(x-2)=2-7x equation:


Simplifying
-8(x + -2) = 2 + -7x

Reorder the terms:
-8(-2 + x) = 2 + -7x
(-2 * -8 + x * -8) = 2 + -7x
(16 + -8x) = 2 + -7x

Solving
16 + -8x = 2 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
16 + -8x + 7x = 2 + -7x + 7x

Combine like terms: -8x + 7x = -1x
16 + -1x = 2 + -7x + 7x

Combine like terms: -7x + 7x = 0
16 + -1x = 2 + 0
16 + -1x = 2

Add '-16' to each side of the equation.
16 + -16 + -1x = 2 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 2 + -16
-1x = 2 + -16

Combine like terms: 2 + -16 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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