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

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


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

Reorder the terms:
3(-4 + x) + -6 = 2(x + -8) + 6
(-4 * 3 + x * 3) + -6 = 2(x + -8) + 6
(-12 + 3x) + -6 = 2(x + -8) + 6

Reorder the terms:
-12 + -6 + 3x = 2(x + -8) + 6

Combine like terms: -12 + -6 = -18
-18 + 3x = 2(x + -8) + 6

Reorder the terms:
-18 + 3x = 2(-8 + x) + 6
-18 + 3x = (-8 * 2 + x * 2) + 6
-18 + 3x = (-16 + 2x) + 6

Reorder the terms:
-18 + 3x = -16 + 6 + 2x

Combine like terms: -16 + 6 = -10
-18 + 3x = -10 + 2x

Solving
-18 + 3x = -10 + 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.
-18 + 3x + -2x = -10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-18 + 1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 1x = -10 + 0
-18 + 1x = -10

Add '18' to each side of the equation.
-18 + 18 + 1x = -10 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -10 + 18
1x = -10 + 18

Combine like terms: -10 + 18 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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