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

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


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

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

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

Combine like terms: -36 + 8 = -28
-28 + 6x = 4(x + -6)

Reorder the terms:
-28 + 6x = 4(-6 + x)
-28 + 6x = (-6 * 4 + x * 4)
-28 + 6x = (-24 + 4x)

Solving
-28 + 6x = -24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-28 + 6x + -4x = -24 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-28 + 2x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-28 + 2x = -24 + 0
-28 + 2x = -24

Add '28' to each side of the equation.
-28 + 28 + 2x = -24 + 28

Combine like terms: -28 + 28 = 0
0 + 2x = -24 + 28
2x = -24 + 28

Combine like terms: -24 + 28 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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