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

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


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

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

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

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

Reorder the terms:
-32 + 6x = 2(-6 + x)
-32 + 6x = (-6 * 2 + x * 2)
-32 + 6x = (-12 + 2x)

Solving
-32 + 6x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-32 + 6x + -2x = -12 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-32 + 4x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-32 + 4x = -12 + 0
-32 + 4x = -12

Add '32' to each side of the equation.
-32 + 32 + 4x = -12 + 32

Combine like terms: -32 + 32 = 0
0 + 4x = -12 + 32
4x = -12 + 32

Combine like terms: -12 + 32 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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