-x+4(x-5)=-2(-2-x)+5

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Solution for -x+4(x-5)=-2(-2-x)+5 equation:


Simplifying
-1x + 4(x + -5) = -2(-2 + -1x) + 5

Reorder the terms:
-1x + 4(-5 + x) = -2(-2 + -1x) + 5
-1x + (-5 * 4 + x * 4) = -2(-2 + -1x) + 5
-1x + (-20 + 4x) = -2(-2 + -1x) + 5

Reorder the terms:
-20 + -1x + 4x = -2(-2 + -1x) + 5

Combine like terms: -1x + 4x = 3x
-20 + 3x = -2(-2 + -1x) + 5
-20 + 3x = (-2 * -2 + -1x * -2) + 5
-20 + 3x = (4 + 2x) + 5

Reorder the terms:
-20 + 3x = 4 + 5 + 2x

Combine like terms: 4 + 5 = 9
-20 + 3x = 9 + 2x

Solving
-20 + 3x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 3x + -2x = 9 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-20 + 1x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 1x = 9 + 0
-20 + 1x = 9

Add '20' to each side of the equation.
-20 + 20 + 1x = 9 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = 9 + 20
1x = 9 + 20

Combine like terms: 9 + 20 = 29
1x = 29

Divide each side by '1'.
x = 29

Simplifying
x = 29

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