2x+21=3x-35

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Solution for 2x+21=3x-35 equation:


Simplifying
2x + 21 = 3x + -35

Reorder the terms:
21 + 2x = 3x + -35

Reorder the terms:
21 + 2x = -35 + 3x

Solving
21 + 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.
21 + 2x + -3x = -35 + 3x + -3x

Combine like terms: 2x + -3x = -1x
21 + -1x = -35 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -1x = -35 + 0
21 + -1x = -35

Add '-21' to each side of the equation.
21 + -21 + -1x = -35 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = -35 + -21
-1x = -35 + -21

Combine like terms: -35 + -21 = -56
-1x = -56

Divide each side by '-1'.
x = 56

Simplifying
x = 56

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