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

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


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

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

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

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

Reorder the terms:
5 + -1x = 3(-5 + 2x) + x
5 + -1x = (-5 * 3 + 2x * 3) + x
5 + -1x = (-15 + 6x) + x

Combine like terms: 6x + x = 7x
5 + -1x = -15 + 7x

Solving
5 + -1x = -15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + -1x + -7x = -15 + 7x + -7x

Combine like terms: -1x + -7x = -8x
5 + -8x = -15 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -8x = -15 + 0
5 + -8x = -15

Add '-5' to each side of the equation.
5 + -5 + -8x = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = -15 + -5
-8x = -15 + -5

Combine like terms: -15 + -5 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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