-2(7x-7)+6x=2(x+8)

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Solution for -2(7x-7)+6x=2(x+8) equation:


Simplifying
-2(7x + -7) + 6x = 2(x + 8)

Reorder the terms:
-2(-7 + 7x) + 6x = 2(x + 8)
(-7 * -2 + 7x * -2) + 6x = 2(x + 8)
(14 + -14x) + 6x = 2(x + 8)

Combine like terms: -14x + 6x = -8x
14 + -8x = 2(x + 8)

Reorder the terms:
14 + -8x = 2(8 + x)
14 + -8x = (8 * 2 + x * 2)
14 + -8x = (16 + 2x)

Solving
14 + -8x = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
14 + -8x + -2x = 16 + 2x + -2x

Combine like terms: -8x + -2x = -10x
14 + -10x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + -10x = 16 + 0
14 + -10x = 16

Add '-14' to each side of the equation.
14 + -14 + -10x = 16 + -14

Combine like terms: 14 + -14 = 0
0 + -10x = 16 + -14
-10x = 16 + -14

Combine like terms: 16 + -14 = 2
-10x = 2

Divide each side by '-10'.
x = -0.2

Simplifying
x = -0.2

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