3x+9=8x-7

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Solution for 3x+9=8x-7 equation:


Simplifying
3x + 9 = 8x + -7

Reorder the terms:
9 + 3x = 8x + -7

Reorder the terms:
9 + 3x = -7 + 8x

Solving
9 + 3x = -7 + 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 = -7 + 8x + -8x

Combine like terms: 3x + -8x = -5x
9 + -5x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
9 + -5x = -7 + 0
9 + -5x = -7

Add '-9' to each side of the equation.
9 + -9 + -5x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -7 + -9
-5x = -7 + -9

Combine like terms: -7 + -9 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2

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