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

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


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

Reorder the terms:
6x + 2(-6 + 6x) = 8x + -7
6x + (-6 * 2 + 6x * 2) = 8x + -7
6x + (-12 + 12x) = 8x + -7

Reorder the terms:
-12 + 6x + 12x = 8x + -7

Combine like terms: 6x + 12x = 18x
-12 + 18x = 8x + -7

Reorder the terms:
-12 + 18x = -7 + 8x

Solving
-12 + 18x = -7 + 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.
-12 + 18x + -8x = -7 + 8x + -8x

Combine like terms: 18x + -8x = 10x
-12 + 10x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + 10x = -7 + 0
-12 + 10x = -7

Add '12' to each side of the equation.
-12 + 12 + 10x = -7 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = -7 + 12
10x = -7 + 12

Combine like terms: -7 + 12 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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