-2(x-2)=5(x+3)-x

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Solution for -2(x-2)=5(x+3)-x equation:


Simplifying
-2(x + -2) = 5(x + 3) + -1x

Reorder the terms:
-2(-2 + x) = 5(x + 3) + -1x
(-2 * -2 + x * -2) = 5(x + 3) + -1x
(4 + -2x) = 5(x + 3) + -1x

Reorder the terms:
4 + -2x = 5(3 + x) + -1x
4 + -2x = (3 * 5 + x * 5) + -1x
4 + -2x = (15 + 5x) + -1x

Combine like terms: 5x + -1x = 4x
4 + -2x = 15 + 4x

Solving
4 + -2x = 15 + 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.
4 + -2x + -4x = 15 + 4x + -4x

Combine like terms: -2x + -4x = -6x
4 + -6x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -6x = 15 + 0
4 + -6x = 15

Add '-4' to each side of the equation.
4 + -4 + -6x = 15 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = 15 + -4
-6x = 15 + -4

Combine like terms: 15 + -4 = 11
-6x = 11

Divide each side by '-6'.
x = -1.833333333

Simplifying
x = -1.833333333

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