2x+21=8x-9

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Solution for 2x+21=8x-9 equation: 


Simplifying
2x + 21 = 8x + -9

Reorder the terms:
21 + 2x = 8x + -9

Reorder the terms:
21 + 2x = -9 + 8x

Solving
21 + 2x = -9 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
21 + 2x + -8x = -9 + 8x + -8x

Combine like terms: 2x + -8x = -6x
21 + -6x = -9 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + -6x = -9 + 0
21 + -6x = -9

Add '-21' to each side of the equation.
21 + -21 + -6x = -9 + -21

Combine like terms: 21 + -21 = 0
0 + -6x = -9 + -21
-6x = -9 + -21

Combine like terms: -9 + -21 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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