24=-2(22-x)+3(x-4)

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Solution for 24=-2(22-x)+3(x-4) equation:


Simplifying
24 = -2(22 + -1x) + 3(x + -4)
24 = (22 * -2 + -1x * -2) + 3(x + -4)
24 = (-44 + 2x) + 3(x + -4)

Reorder the terms:
24 = -44 + 2x + 3(-4 + x)
24 = -44 + 2x + (-4 * 3 + x * 3)
24 = -44 + 2x + (-12 + 3x)

Reorder the terms:
24 = -44 + -12 + 2x + 3x

Combine like terms: -44 + -12 = -56
24 = -56 + 2x + 3x

Combine like terms: 2x + 3x = 5x
24 = -56 + 5x

Solving
24 = -56 + 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 = -56 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -5x = -56 + 0
24 + -5x = -56

Add '-24' to each side of the equation.
24 + -24 + -5x = -56 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = -56 + -24
-5x = -56 + -24

Combine like terms: -56 + -24 = -80
-5x = -80

Divide each side by '-5'.
x = 16

Simplifying
x = 16

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