24=-3(21-x)+2(x-4)

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Solution for 24=-3(21-x)+2(x-4) equation:


Simplifying
24 = -3(21 + -1x) + 2(x + -4)
24 = (21 * -3 + -1x * -3) + 2(x + -4)
24 = (-63 + 3x) + 2(x + -4)

Reorder the terms:
24 = -63 + 3x + 2(-4 + x)
24 = -63 + 3x + (-4 * 2 + x * 2)
24 = -63 + 3x + (-8 + 2x)

Reorder the terms:
24 = -63 + -8 + 3x + 2x

Combine like terms: -63 + -8 = -71
24 = -71 + 3x + 2x

Combine like terms: 3x + 2x = 5x
24 = -71 + 5x

Solving
24 = -71 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
24 + -5x = -71 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -5x = -71 + 0
24 + -5x = -71

Add '-24' to each side of the equation.
24 + -24 + -5x = -71 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = -71 + -24
-5x = -71 + -24

Combine like terms: -71 + -24 = -95
-5x = -95

Divide each side by '-5'.
x = 19

Simplifying
x = 19

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