54=-2(22-x)+4(x-4)

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Solution for 54=-2(22-x)+4(x-4) equation:


Simplifying
54 = -2(22 + -1x) + 4(x + -4)
54 = (22 * -2 + -1x * -2) + 4(x + -4)
54 = (-44 + 2x) + 4(x + -4)

Reorder the terms:
54 = -44 + 2x + 4(-4 + x)
54 = -44 + 2x + (-4 * 4 + x * 4)
54 = -44 + 2x + (-16 + 4x)

Reorder the terms:
54 = -44 + -16 + 2x + 4x

Combine like terms: -44 + -16 = -60
54 = -60 + 2x + 4x

Combine like terms: 2x + 4x = 6x
54 = -60 + 6x

Solving
54 = -60 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
54 + -6x = -60 + 6x + -6x

Combine like terms: 6x + -6x = 0
54 + -6x = -60 + 0
54 + -6x = -60

Add '-54' to each side of the equation.
54 + -54 + -6x = -60 + -54

Combine like terms: 54 + -54 = 0
0 + -6x = -60 + -54
-6x = -60 + -54

Combine like terms: -60 + -54 = -114
-6x = -114

Divide each side by '-6'.
x = 19

Simplifying
x = 19

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