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

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


Simplifying
24 = -3(24 + -1x) + 3(x + -4)
24 = (24 * -3 + -1x * -3) + 3(x + -4)
24 = (-72 + 3x) + 3(x + -4)

Reorder the terms:
24 = -72 + 3x + 3(-4 + x)
24 = -72 + 3x + (-4 * 3 + x * 3)
24 = -72 + 3x + (-12 + 3x)

Reorder the terms:
24 = -72 + -12 + 3x + 3x

Combine like terms: -72 + -12 = -84
24 = -84 + 3x + 3x

Combine like terms: 3x + 3x = 6x
24 = -84 + 6x

Solving
24 = -84 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
24 + -6x = -84 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -6x = -84 + 0
24 + -6x = -84

Add '-24' to each side of the equation.
24 + -24 + -6x = -84 + -24

Combine like terms: 24 + -24 = 0
0 + -6x = -84 + -24
-6x = -84 + -24

Combine like terms: -84 + -24 = -108
-6x = -108

Divide each side by '-6'.
x = 18

Simplifying
x = 18

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