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

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


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

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

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

Combine like terms: 18 + -4 = 14
14 + 6x = -2(x + 4) + 6

Reorder the terms:
14 + 6x = -2(4 + x) + 6
14 + 6x = (4 * -2 + x * -2) + 6
14 + 6x = (-8 + -2x) + 6

Reorder the terms:
14 + 6x = -8 + 6 + -2x

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

Solving
14 + 6x = -2 + -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.
14 + 6x + 2x = -2 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
14 + 8x = -2 + 0
14 + 8x = -2

Add '-14' to each side of the equation.
14 + -14 + 8x = -2 + -14

Combine like terms: 14 + -14 = 0
0 + 8x = -2 + -14
8x = -2 + -14

Combine like terms: -2 + -14 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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