16=-3(22-x)+2(x-4)

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Solution for 16=-3(22-x)+2(x-4) equation: 


Simplifying
16 = -3(22 + -1x) + 2(x + -4)
16 = (22 * -3 + -1x * -3) + 2(x + -4)
16 = (-66 + 3x) + 2(x + -4)

Reorder the terms:
16 = -66 + 3x + 2(-4 + x)
16 = -66 + 3x + (-4 * 2 + x * 2)
16 = -66 + 3x + (-8 + 2x)

Reorder the terms:
16 = -66 + -8 + 3x + 2x

Combine like terms: -66 + -8 = -74
16 = -74 + 3x + 2x

Combine like terms: 3x + 2x = 5x
16 = -74 + 5x

Solving
16 = -74 + 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.
16 + -5x = -74 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -5x = -74 + 0
16 + -5x = -74

Add '-16' to each side of the equation.
16 + -16 + -5x = -74 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -74 + -16
-5x = -74 + -16

Combine like terms: -74 + -16 = -90
-5x = -90

Divide each side by '-5'.
x = 18

Simplifying
x = 18

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