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

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


Simplifying
3x + -4(3 + -2x) = 3(x + -4) + -24
3x + (3 * -4 + -2x * -4) = 3(x + -4) + -24
3x + (-12 + 8x) = 3(x + -4) + -24

Reorder the terms:
-12 + 3x + 8x = 3(x + -4) + -24

Combine like terms: 3x + 8x = 11x
-12 + 11x = 3(x + -4) + -24

Reorder the terms:
-12 + 11x = 3(-4 + x) + -24
-12 + 11x = (-4 * 3 + x * 3) + -24
-12 + 11x = (-12 + 3x) + -24

Reorder the terms:
-12 + 11x = -12 + -24 + 3x

Combine like terms: -12 + -24 = -36
-12 + 11x = -36 + 3x

Solving
-12 + 11x = -36 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 11x + -3x = -36 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-12 + 8x = -36 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 8x = -36 + 0
-12 + 8x = -36

Add '12' to each side of the equation.
-12 + 12 + 8x = -36 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = -36 + 12
8x = -36 + 12

Combine like terms: -36 + 12 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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