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

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


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

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

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

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

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

Solving
-6 + 3x = -8 + 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.
-6 + 3x + -2x = -8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-6 + 1x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 1x = -8 + 0
-6 + 1x = -8

Add '6' to each side of the equation.
-6 + 6 + 1x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = -8 + 6
1x = -8 + 6

Combine like terms: -8 + 6 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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