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

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


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

Reorder the terms:
40 + -1x = 2(4 + -3x) + 2
40 + -1x = (4 * 2 + -3x * 2) + 2
40 + -1x = (8 + -6x) + 2

Reorder the terms:
40 + -1x = 8 + 2 + -6x

Combine like terms: 8 + 2 = 10
40 + -1x = 10 + -6x

Solving
40 + -1x = 10 + -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 + -1x + 6x = 10 + -6x + 6x

Combine like terms: -1x + 6x = 5x
40 + 5x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
40 + 5x = 10 + 0
40 + 5x = 10

Add '-40' to each side of the equation.
40 + -40 + 5x = 10 + -40

Combine like terms: 40 + -40 = 0
0 + 5x = 10 + -40
5x = 10 + -40

Combine like terms: 10 + -40 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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