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

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


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

Reorder the terms:
-4(-4 + 3x) = 2(x + 6)
(-4 * -4 + 3x * -4) = 2(x + 6)
(16 + -12x) = 2(x + 6)

Reorder the terms:
16 + -12x = 2(6 + x)
16 + -12x = (6 * 2 + x * 2)
16 + -12x = (12 + 2x)

Solving
16 + -12x = 12 + 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.
16 + -12x + -2x = 12 + 2x + -2x

Combine like terms: -12x + -2x = -14x
16 + -14x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -14x = 12 + 0
16 + -14x = 12

Add '-16' to each side of the equation.
16 + -16 + -14x = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -14x = 12 + -16
-14x = 12 + -16

Combine like terms: 12 + -16 = -4
-14x = -4

Divide each side by '-14'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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