2x+21=3x-6

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Solution for 2x+21=3x-6 equation:


Simplifying
2x + 21 = 3x + -6

Reorder the terms:
21 + 2x = 3x + -6

Reorder the terms:
21 + 2x = -6 + 3x

Solving
21 + 2x = -6 + 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 = -6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
21 + -1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -1x = -6 + 0
21 + -1x = -6

Add '-21' to each side of the equation.
21 + -21 + -1x = -6 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = -6 + -21
-1x = -6 + -21

Combine like terms: -6 + -21 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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