-x+38=-4(1-x)+2

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Solution for -x+38=-4(1-x)+2 equation:


Simplifying
-1x + 38 = -4(1 + -1x) + 2

Reorder the terms:
38 + -1x = -4(1 + -1x) + 2
38 + -1x = (1 * -4 + -1x * -4) + 2
38 + -1x = (-4 + 4x) + 2

Reorder the terms:
38 + -1x = -4 + 2 + 4x

Combine like terms: -4 + 2 = -2
38 + -1x = -2 + 4x

Solving
38 + -1x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
38 + -1x + -4x = -2 + 4x + -4x

Combine like terms: -1x + -4x = -5x
38 + -5x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
38 + -5x = -2 + 0
38 + -5x = -2

Add '-38' to each side of the equation.
38 + -38 + -5x = -2 + -38

Combine like terms: 38 + -38 = 0
0 + -5x = -2 + -38
-5x = -2 + -38

Combine like terms: -2 + -38 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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