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

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


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

Reorder the terms:
6(-6 + x) + 4 = 8(x + 2) + -6
(-6 * 6 + x * 6) + 4 = 8(x + 2) + -6
(-36 + 6x) + 4 = 8(x + 2) + -6

Reorder the terms:
-36 + 4 + 6x = 8(x + 2) + -6

Combine like terms: -36 + 4 = -32
-32 + 6x = 8(x + 2) + -6

Reorder the terms:
-32 + 6x = 8(2 + x) + -6
-32 + 6x = (2 * 8 + x * 8) + -6
-32 + 6x = (16 + 8x) + -6

Reorder the terms:
-32 + 6x = 16 + -6 + 8x

Combine like terms: 16 + -6 = 10
-32 + 6x = 10 + 8x

Solving
-32 + 6x = 10 + 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.
-32 + 6x + -8x = 10 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-32 + -2x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-32 + -2x = 10 + 0
-32 + -2x = 10

Add '32' to each side of the equation.
-32 + 32 + -2x = 10 + 32

Combine like terms: -32 + 32 = 0
0 + -2x = 10 + 32
-2x = 10 + 32

Combine like terms: 10 + 32 = 42
-2x = 42

Divide each side by '-2'.
x = -21

Simplifying
x = -21

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