2x+27=3x+22

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Solution for 2x+27=3x+22 equation:


Simplifying
2x + 27 = 3x + 22

Reorder the terms:
27 + 2x = 3x + 22

Reorder the terms:
27 + 2x = 22 + 3x

Solving
27 + 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.
27 + 2x + -3x = 22 + 3x + -3x

Combine like terms: 2x + -3x = -1x
27 + -1x = 22 + 3x + -3x

Combine like terms: 3x + -3x = 0
27 + -1x = 22 + 0
27 + -1x = 22

Add '-27' to each side of the equation.
27 + -27 + -1x = 22 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 22 + -27
-1x = 22 + -27

Combine like terms: 22 + -27 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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