2x+52=3x-35

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Solution for 2x+52=3x-35 equation:


Simplifying
2x + 52 = 3x + -35

Reorder the terms:
52 + 2x = 3x + -35

Reorder the terms:
52 + 2x = -35 + 3x

Solving
52 + 2x = -35 + 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.
52 + 2x + -3x = -35 + 3x + -3x

Combine like terms: 2x + -3x = -1x
52 + -1x = -35 + 3x + -3x

Combine like terms: 3x + -3x = 0
52 + -1x = -35 + 0
52 + -1x = -35

Add '-52' to each side of the equation.
52 + -52 + -1x = -35 + -52

Combine like terms: 52 + -52 = 0
0 + -1x = -35 + -52
-1x = -35 + -52

Combine like terms: -35 + -52 = -87
-1x = -87

Divide each side by '-1'.
x = 87

Simplifying
x = 87

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