27=-2(22-x)+3(x-3)

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Solution for 27=-2(22-x)+3(x-3) equation:


Simplifying
27 = -2(22 + -1x) + 3(x + -3)
27 = (22 * -2 + -1x * -2) + 3(x + -3)
27 = (-44 + 2x) + 3(x + -3)

Reorder the terms:
27 = -44 + 2x + 3(-3 + x)
27 = -44 + 2x + (-3 * 3 + x * 3)
27 = -44 + 2x + (-9 + 3x)

Reorder the terms:
27 = -44 + -9 + 2x + 3x

Combine like terms: -44 + -9 = -53
27 = -53 + 2x + 3x

Combine like terms: 2x + 3x = 5x
27 = -53 + 5x

Solving
27 = -53 + 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.
27 + -5x = -53 + 5x + -5x

Combine like terms: 5x + -5x = 0
27 + -5x = -53 + 0
27 + -5x = -53

Add '-27' to each side of the equation.
27 + -27 + -5x = -53 + -27

Combine like terms: 27 + -27 = 0
0 + -5x = -53 + -27
-5x = -53 + -27

Combine like terms: -53 + -27 = -80
-5x = -80

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

Simplifying
x = 16

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