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

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Solution for 2x+5-x=3(x-1)+2 equation:


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

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

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

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

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

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

Solving
5 + 1x = -1 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
5 + -2x = -1 + 0
5 + -2x = -1

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

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

Combine like terms: -1 + -5 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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