3x-9=8x+21

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Solution for 3x-9=8x+21 equation:


Simplifying
3x + -9 = 8x + 21

Reorder the terms:
-9 + 3x = 8x + 21

Reorder the terms:
-9 + 3x = 21 + 8x

Solving
-9 + 3x = 21 + 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.
-9 + 3x + -8x = 21 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-9 + -5x = 21 + 8x + -8x

Combine like terms: 8x + -8x = 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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