2(x+1)-5=3x-22

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Solution for 2(x+1)-5=3x-22 equation:


Simplifying
2(x + 1) + -5 = 3x + -22

Reorder the terms:
2(1 + x) + -5 = 3x + -22
(1 * 2 + x * 2) + -5 = 3x + -22
(2 + 2x) + -5 = 3x + -22

Reorder the terms:
2 + -5 + 2x = 3x + -22

Combine like terms: 2 + -5 = -3
-3 + 2x = 3x + -22

Reorder the terms:
-3 + 2x = -22 + 3x

Solving
-3 + 2x = -22 + 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 = -22 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-3 + -1x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -1x = -22 + 0
-3 + -1x = -22

Add '3' to each side of the equation.
-3 + 3 + -1x = -22 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -22 + 3
-1x = -22 + 3

Combine like terms: -22 + 3 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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