5x+10=8x-9

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Solution for 5x+10=8x-9 equation:


Simplifying
5x + 10 = 8x + -9

Reorder the terms:
10 + 5x = 8x + -9

Reorder the terms:
10 + 5x = -9 + 8x

Solving
10 + 5x = -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.
10 + 5x + -8x = -9 + 8x + -8x

Combine like terms: 5x + -8x = -3x
10 + -3x = -9 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -3x = -9 + 0
10 + -3x = -9

Add '-10' to each side of the equation.
10 + -10 + -3x = -9 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -9 + -10
-3x = -9 + -10

Combine like terms: -9 + -10 = -19
-3x = -19

Divide each side by '-3'.
x = 6.333333333

Simplifying
x = 6.333333333

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