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

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


Simplifying
3(4x + -6) = -8(-1x + -2) + 2

Reorder the terms:
3(-6 + 4x) = -8(-1x + -2) + 2
(-6 * 3 + 4x * 3) = -8(-1x + -2) + 2
(-18 + 12x) = -8(-1x + -2) + 2

Reorder the terms:
-18 + 12x = -8(-2 + -1x) + 2
-18 + 12x = (-2 * -8 + -1x * -8) + 2
-18 + 12x = (16 + 8x) + 2

Reorder the terms:
-18 + 12x = 16 + 2 + 8x

Combine like terms: 16 + 2 = 18
-18 + 12x = 18 + 8x

Solving
-18 + 12x = 18 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-18 + 12x + -8x = 18 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-18 + 4x = 18 + 8x + -8x

Combine like terms: 8x + -8x = 0
-18 + 4x = 18 + 0
-18 + 4x = 18

Add '18' to each side of the equation.
-18 + 18 + 4x = 18 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = 18 + 18
4x = 18 + 18

Combine like terms: 18 + 18 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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