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

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


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

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

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

Combine like terms: -24 + 8 = -16
-16 + 4x = 6x + -6

Reorder the terms:
-16 + 4x = -6 + 6x

Solving
-16 + 4x = -6 + 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.
-16 + 4x + -6x = -6 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-16 + -2x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-16 + -2x = -6 + 0
-16 + -2x = -6

Add '16' to each side of the equation.
-16 + 16 + -2x = -6 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = -6 + 16
-2x = -6 + 16

Combine like terms: -6 + 16 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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