6(x-7)+8=8x-12

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Solution for 6(x-7)+8=8x-12 equation:


Simplifying
6(x + -7) + 8 = 8x + -12

Reorder the terms:
6(-7 + x) + 8 = 8x + -12
(-7 * 6 + x * 6) + 8 = 8x + -12
(-42 + 6x) + 8 = 8x + -12

Reorder the terms:
-42 + 8 + 6x = 8x + -12

Combine like terms: -42 + 8 = -34
-34 + 6x = 8x + -12

Reorder the terms:
-34 + 6x = -12 + 8x

Solving
-34 + 6x = -12 + 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.
-34 + 6x + -8x = -12 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-34 + -2x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-34 + -2x = -12 + 0
-34 + -2x = -12

Add '34' to each side of the equation.
-34 + 34 + -2x = -12 + 34

Combine like terms: -34 + 34 = 0
0 + -2x = -12 + 34
-2x = -12 + 34

Combine like terms: -12 + 34 = 22
-2x = 22

Divide each side by '-2'.
x = -11

Simplifying
x = -11

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