40=-2(22-x)+4(x-3)

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Solution for 40=-2(22-x)+4(x-3) equation:


Simplifying
40 = -2(22 + -1x) + 4(x + -3)
40 = (22 * -2 + -1x * -2) + 4(x + -3)
40 = (-44 + 2x) + 4(x + -3)

Reorder the terms:
40 = -44 + 2x + 4(-3 + x)
40 = -44 + 2x + (-3 * 4 + x * 4)
40 = -44 + 2x + (-12 + 4x)

Reorder the terms:
40 = -44 + -12 + 2x + 4x

Combine like terms: -44 + -12 = -56
40 = -56 + 2x + 4x

Combine like terms: 2x + 4x = 6x
40 = -56 + 6x

Solving
40 = -56 + 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.
40 + -6x = -56 + 6x + -6x

Combine like terms: 6x + -6x = 0
40 + -6x = -56 + 0
40 + -6x = -56

Add '-40' to each side of the equation.
40 + -40 + -6x = -56 + -40

Combine like terms: 40 + -40 = 0
0 + -6x = -56 + -40
-6x = -56 + -40

Combine like terms: -56 + -40 = -96
-6x = -96

Divide each side by '-6'.
x = 16

Simplifying
x = 16

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