6x-8=4(-2x-27)

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Solution for 6x-8=4(-2x-27) equation:


Simplifying
6x + -8 = 4(-2x + -27)

Reorder the terms:
-8 + 6x = 4(-2x + -27)

Reorder the terms:
-8 + 6x = 4(-27 + -2x)
-8 + 6x = (-27 * 4 + -2x * 4)
-8 + 6x = (-108 + -8x)

Solving
-8 + 6x = -108 + -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 + 6x + 8x = -108 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-8 + 14x = -108 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 14x = -108 + 0
-8 + 14x = -108

Add '8' to each side of the equation.
-8 + 8 + 14x = -108 + 8

Combine like terms: -8 + 8 = 0
0 + 14x = -108 + 8
14x = -108 + 8

Combine like terms: -108 + 8 = -100
14x = -100

Divide each side by '14'.
x = -7.142857143

Simplifying
x = -7.142857143

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