2x+5=3x+22

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Solution for 2x+5=3x+22 equation:


Simplifying
2x + 5 = 3x + 22

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

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

Solving
5 + 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.
5 + 2x + -3x = 22 + 3x + -3x

Combine like terms: 2x + -3x = -1x
5 + -1x = 22 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -1x = 22 + 0
5 + -1x = 22

Add '-5' to each side of the equation.
5 + -5 + -1x = 22 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 22 + -5
-1x = 22 + -5

Combine like terms: 22 + -5 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17

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