-4(3x-4)=2(4x-24)

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Solution for -4(3x-4)=2(4x-24) equation:


Simplifying
-4(3x + -4) = 2(4x + -24)

Reorder the terms:
-4(-4 + 3x) = 2(4x + -24)
(-4 * -4 + 3x * -4) = 2(4x + -24)
(16 + -12x) = 2(4x + -24)

Reorder the terms:
16 + -12x = 2(-24 + 4x)
16 + -12x = (-24 * 2 + 4x * 2)
16 + -12x = (-48 + 8x)

Solving
16 + -12x = -48 + 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.
16 + -12x + -8x = -48 + 8x + -8x

Combine like terms: -12x + -8x = -20x
16 + -20x = -48 + 8x + -8x

Combine like terms: 8x + -8x = 0
16 + -20x = -48 + 0
16 + -20x = -48

Add '-16' to each side of the equation.
16 + -16 + -20x = -48 + -16

Combine like terms: 16 + -16 = 0
0 + -20x = -48 + -16
-20x = -48 + -16

Combine like terms: -48 + -16 = -64
-20x = -64

Divide each side by '-20'.
x = 3.2

Simplifying
x = 3.2

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