-5(2x-14)=2(x-8)+14

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Solution for -5(2x-14)=2(x-8)+14 equation: 


Simplifying
-5(2x + -14) = 2(x + -8) + 14

Reorder the terms:
-5(-14 + 2x) = 2(x + -8) + 14
(-14 * -5 + 2x * -5) = 2(x + -8) + 14
(70 + -10x) = 2(x + -8) + 14

Reorder the terms:
70 + -10x = 2(-8 + x) + 14
70 + -10x = (-8 * 2 + x * 2) + 14
70 + -10x = (-16 + 2x) + 14

Reorder the terms:
70 + -10x = -16 + 14 + 2x

Combine like terms: -16 + 14 = -2
70 + -10x = -2 + 2x

Solving
70 + -10x = -2 + 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.
70 + -10x + -2x = -2 + 2x + -2x

Combine like terms: -10x + -2x = -12x
70 + -12x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
70 + -12x = -2 + 0
70 + -12x = -2

Add '-70' to each side of the equation.
70 + -70 + -12x = -2 + -70

Combine like terms: 70 + -70 = 0
0 + -12x = -2 + -70
-12x = -2 + -70

Combine like terms: -2 + -70 = -72
-12x = -72

Divide each side by '-12'.
x = 6

Simplifying
x = 6

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