3(2x-4)+6=8-2(x+7)

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Solution for 3(2x-4)+6=8-2(x+7) equation:


Simplifying
3(2x + -4) + 6 = 8 + -2(x + 7)

Reorder the terms:
3(-4 + 2x) + 6 = 8 + -2(x + 7)
(-4 * 3 + 2x * 3) + 6 = 8 + -2(x + 7)
(-12 + 6x) + 6 = 8 + -2(x + 7)

Reorder the terms:
-12 + 6 + 6x = 8 + -2(x + 7)

Combine like terms: -12 + 6 = -6
-6 + 6x = 8 + -2(x + 7)

Reorder the terms:
-6 + 6x = 8 + -2(7 + x)
-6 + 6x = 8 + (7 * -2 + x * -2)
-6 + 6x = 8 + (-14 + -2x)

Combine like terms: 8 + -14 = -6
-6 + 6x = -6 + -2x

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

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

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

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

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

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

Divide each side by '8'.
x = 0

Simplifying
x = 0

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