6(x-6)+8=8(x+2)-10

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Solution for 6(x-6)+8=8(x+2)-10 equation: 


Simplifying
6(x + -6) + 8 = 8(x + 2) + -10

Reorder the terms:
6(-6 + x) + 8 = 8(x + 2) + -10
(-6 * 6 + x * 6) + 8 = 8(x + 2) + -10
(-36 + 6x) + 8 = 8(x + 2) + -10

Reorder the terms:
-36 + 8 + 6x = 8(x + 2) + -10

Combine like terms: -36 + 8 = -28
-28 + 6x = 8(x + 2) + -10

Reorder the terms:
-28 + 6x = 8(2 + x) + -10
-28 + 6x = (2 * 8 + x * 8) + -10
-28 + 6x = (16 + 8x) + -10

Reorder the terms:
-28 + 6x = 16 + -10 + 8x

Combine like terms: 16 + -10 = 6
-28 + 6x = 6 + 8x

Solving
-28 + 6x = 6 + 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.
-28 + 6x + -8x = 6 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-28 + -2x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-28 + -2x = 6 + 0
-28 + -2x = 6

Add '28' to each side of the equation.
-28 + 28 + -2x = 6 + 28

Combine like terms: -28 + 28 = 0
0 + -2x = 6 + 28
-2x = 6 + 28

Combine like terms: 6 + 28 = 34
-2x = 34

Divide each side by '-2'.
x = -17

Simplifying
x = -17

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