35=-2(24-x)+3(x-4)

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Solution for 35=-2(24-x)+3(x-4) equation:


Simplifying
35 = -2(24 + -1x) + 3(x + -4)
35 = (24 * -2 + -1x * -2) + 3(x + -4)
35 = (-48 + 2x) + 3(x + -4)

Reorder the terms:
35 = -48 + 2x + 3(-4 + x)
35 = -48 + 2x + (-4 * 3 + x * 3)
35 = -48 + 2x + (-12 + 3x)

Reorder the terms:
35 = -48 + -12 + 2x + 3x

Combine like terms: -48 + -12 = -60
35 = -60 + 2x + 3x

Combine like terms: 2x + 3x = 5x
35 = -60 + 5x

Solving
35 = -60 + 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.
35 + -5x = -60 + 5x + -5x

Combine like terms: 5x + -5x = 0
35 + -5x = -60 + 0
35 + -5x = -60

Add '-35' to each side of the equation.
35 + -35 + -5x = -60 + -35

Combine like terms: 35 + -35 = 0
0 + -5x = -60 + -35
-5x = -60 + -35

Combine like terms: -60 + -35 = -95
-5x = -95

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

Simplifying
x = 19

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