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

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


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

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

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

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

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

Solving
-3 + 2x = -2 + 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.
-3 + 2x + -3x = -2 + 3x + -3x

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

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

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

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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