18=-3(23-x)+2(x-4)

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Solution for 18=-3(23-x)+2(x-4) equation:


Simplifying
18 = -3(23 + -1x) + 2(x + -4)
18 = (23 * -3 + -1x * -3) + 2(x + -4)
18 = (-69 + 3x) + 2(x + -4)

Reorder the terms:
18 = -69 + 3x + 2(-4 + x)
18 = -69 + 3x + (-4 * 2 + x * 2)
18 = -69 + 3x + (-8 + 2x)

Reorder the terms:
18 = -69 + -8 + 3x + 2x

Combine like terms: -69 + -8 = -77
18 = -77 + 3x + 2x

Combine like terms: 3x + 2x = 5x
18 = -77 + 5x

Solving
18 = -77 + 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.
18 + -5x = -77 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -5x = -77 + 0
18 + -5x = -77

Add '-18' to each side of the equation.
18 + -18 + -5x = -77 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = -77 + -18
-5x = -77 + -18

Combine like terms: -77 + -18 = -95
-5x = -95

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

Simplifying
x = 19

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