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

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


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

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

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

Combine like terms: 2 + 2 = 4
4 + 2x = 3x + -5

Reorder the terms:
4 + 2x = -5 + 3x

Solving
4 + 2x = -5 + 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.
4 + 2x + -3x = -5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
4 + -1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -1x = -5 + 0
4 + -1x = -5

Add '-4' to each side of the equation.
4 + -4 + -1x = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -5 + -4
-1x = -5 + -4

Combine like terms: -5 + -4 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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