(5x-22)=(2x+35)

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Solution for (5x-22)=(2x+35) equation:


Simplifying
(5x + -22) = (2x + 35)

Reorder the terms:
(-22 + 5x) = (2x + 35)

Remove parenthesis around (-22 + 5x)
-22 + 5x = (2x + 35)

Reorder the terms:
-22 + 5x = (35 + 2x)

Remove parenthesis around (35 + 2x)
-22 + 5x = 35 + 2x

Solving
-22 + 5x = 35 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-22 + 5x + -2x = 35 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-22 + 3x = 35 + 2x + -2x

Combine like terms: 2x + -2x = 0
-22 + 3x = 35 + 0
-22 + 3x = 35

Add '22' to each side of the equation.
-22 + 22 + 3x = 35 + 22

Combine like terms: -22 + 22 = 0
0 + 3x = 35 + 22
3x = 35 + 22

Combine like terms: 35 + 22 = 57
3x = 57

Divide each side by '3'.
x = 19

Simplifying
x = 19

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