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

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


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

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

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

Combine like terms: -36 + 8 = -28
-28 + 6x = 4(x + 2) + -6

Reorder the terms:
-28 + 6x = 4(2 + x) + -6
-28 + 6x = (2 * 4 + x * 4) + -6
-28 + 6x = (8 + 4x) + -6

Reorder the terms:
-28 + 6x = 8 + -6 + 4x

Combine like terms: 8 + -6 = 2
-28 + 6x = 2 + 4x

Solving
-28 + 6x = 2 + 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 = 2 + 4x + -4x

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

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

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

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

Combine like terms: 2 + 28 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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