5x-9=8x+1

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Solution for 5x-9=8x+1 equation:


Simplifying
5x + -9 = 8x + 1

Reorder the terms:
-9 + 5x = 8x + 1

Reorder the terms:
-9 + 5x = 1 + 8x

Solving
-9 + 5x = 1 + 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 + 5x + -8x = 1 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-9 + -3x = 1 + 8x + -8x

Combine like terms: 8x + -8x = 0
-9 + -3x = 1 + 0
-9 + -3x = 1

Add '9' to each side of the equation.
-9 + 9 + -3x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = 1 + 9
-3x = 1 + 9

Combine like terms: 1 + 9 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

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