-2(x-1)+5x=-2+x+7

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Solution for -2(x-1)+5x=-2+x+7 equation: 


Simplifying
-2(x + -1) + 5x = -2 + x + 7

Reorder the terms:
-2(-1 + x) + 5x = -2 + x + 7
(-1 * -2 + x * -2) + 5x = -2 + x + 7
(2 + -2x) + 5x = -2 + x + 7

Combine like terms: -2x + 5x = 3x
2 + 3x = -2 + x + 7

Reorder the terms:
2 + 3x = -2 + 7 + x

Combine like terms: -2 + 7 = 5
2 + 3x = 5 + x

Solving
2 + 3x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 3x + -1x = 5 + x + -1x

Combine like terms: 3x + -1x = 2x
2 + 2x = 5 + x + -1x

Combine like terms: x + -1x = 0
2 + 2x = 5 + 0
2 + 2x = 5

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

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

Combine like terms: 5 + -2 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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