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

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


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

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

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

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

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

Solving
35 + 2x = -22 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
35 + -3x = -22 + 0
35 + -3x = -22

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

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

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

Divide each side by '-3'.
x = 19

Simplifying
x = 19

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