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

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


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

Reorder the terms:
4(-6 + x) + -8 = 6x + -2
(-6 * 4 + x * 4) + -8 = 6x + -2
(-24 + 4x) + -8 = 6x + -2

Reorder the terms:
-24 + -8 + 4x = 6x + -2

Combine like terms: -24 + -8 = -32
-32 + 4x = 6x + -2

Reorder the terms:
-32 + 4x = -2 + 6x

Solving
-32 + 4x = -2 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-32 + 4x + -6x = -2 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-32 + -2x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-32 + -2x = -2 + 0
-32 + -2x = -2

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

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

Combine like terms: -2 + 32 = 30
-2x = 30

Divide each side by '-2'.
x = -15

Simplifying
x = -15

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