6-(2x+14)=2(4x-39)

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Solution for 6-(2x+14)=2(4x-39) equation:


Simplifying
6 + -1(2x + 14) = 2(4x + -39)

Reorder the terms:
6 + -1(14 + 2x) = 2(4x + -39)
6 + (14 * -1 + 2x * -1) = 2(4x + -39)
6 + (-14 + -2x) = 2(4x + -39)

Combine like terms: 6 + -14 = -8
-8 + -2x = 2(4x + -39)

Reorder the terms:
-8 + -2x = 2(-39 + 4x)
-8 + -2x = (-39 * 2 + 4x * 2)
-8 + -2x = (-78 + 8x)

Solving
-8 + -2x = -78 + 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.
-8 + -2x + -8x = -78 + 8x + -8x

Combine like terms: -2x + -8x = -10x
-8 + -10x = -78 + 8x + -8x

Combine like terms: 8x + -8x = 0
-8 + -10x = -78 + 0
-8 + -10x = -78

Add '8' to each side of the equation.
-8 + 8 + -10x = -78 + 8

Combine like terms: -8 + 8 = 0
0 + -10x = -78 + 8
-10x = -78 + 8

Combine like terms: -78 + 8 = -70
-10x = -70

Divide each side by '-10'.
x = 7

Simplifying
x = 7

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