3x+84=8x+9

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Solution for 3x+84=8x+9 equation:


Simplifying
3x + 84 = 8x + 9

Reorder the terms:
84 + 3x = 8x + 9

Reorder the terms:
84 + 3x = 9 + 8x

Solving
84 + 3x = 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.
84 + 3x + -8x = 9 + 8x + -8x

Combine like terms: 3x + -8x = -5x
84 + -5x = 9 + 8x + -8x

Combine like terms: 8x + -8x = 0
84 + -5x = 9 + 0
84 + -5x = 9

Add '-84' to each side of the equation.
84 + -84 + -5x = 9 + -84

Combine like terms: 84 + -84 = 0
0 + -5x = 9 + -84
-5x = 9 + -84

Combine like terms: 9 + -84 = -75
-5x = -75

Divide each side by '-5'.
x = 15

Simplifying
x = 15

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