x+9=6x-21

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Solution for x+9=6x-21 equation:


Simplifying
x + 9 = 6x + -21

Reorder the terms:
9 + x = 6x + -21

Reorder the terms:
9 + x = -21 + 6x

Solving
9 + x = -21 + 6x

Solving for variable 'x'.

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

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

Combine like terms: x + -6x = -5x
9 + -5x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -5x = -21 + 0
9 + -5x = -21

Add '-9' to each side of the equation.
9 + -9 + -5x = -21 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -21 + -9
-5x = -21 + -9

Combine like terms: -21 + -9 = -30
-5x = -30

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

Simplifying
x = 6

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