3(2x-6)-4=3(x-2)+8

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Solution for 3(2x-6)-4=3(x-2)+8 equation: 


Simplifying
3(2x + -6) + -4 = 3(x + -2) + 8

Reorder the terms:
3(-6 + 2x) + -4 = 3(x + -2) + 8
(-6 * 3 + 2x * 3) + -4 = 3(x + -2) + 8
(-18 + 6x) + -4 = 3(x + -2) + 8

Reorder the terms:
-18 + -4 + 6x = 3(x + -2) + 8

Combine like terms: -18 + -4 = -22
-22 + 6x = 3(x + -2) + 8

Reorder the terms:
-22 + 6x = 3(-2 + x) + 8
-22 + 6x = (-2 * 3 + x * 3) + 8
-22 + 6x = (-6 + 3x) + 8

Reorder the terms:
-22 + 6x = -6 + 8 + 3x

Combine like terms: -6 + 8 = 2
-22 + 6x = 2 + 3x

Solving
-22 + 6x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-22 + 6x + -3x = 2 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-22 + 3x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-22 + 3x = 2 + 0
-22 + 3x = 2

Add '22' to each side of the equation.
-22 + 22 + 3x = 2 + 22

Combine like terms: -22 + 22 = 0
0 + 3x = 2 + 22
3x = 2 + 22

Combine like terms: 2 + 22 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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