(5x-3)+(9x+8)=5x

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Solution for (5x-3)+(9x+8)=5x equation:


Simplifying
(5x + -3) + (9x + 8) = 5x

Reorder the terms:
(-3 + 5x) + (9x + 8) = 5x

Remove parenthesis around (-3 + 5x)
-3 + 5x + (9x + 8) = 5x

Reorder the terms:
-3 + 5x + (8 + 9x) = 5x

Remove parenthesis around (8 + 9x)
-3 + 5x + 8 + 9x = 5x

Reorder the terms:
-3 + 8 + 5x + 9x = 5x

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

Combine like terms: 5x + 9x = 14x
5 + 14x = 5x

Solving
5 + 14x = 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
5 + 14x + -5x = 5x + -5x

Combine like terms: 14x + -5x = 9x
5 + 9x = 5x + -5x

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

Add '-5' to each side of the equation.
5 + -5 + 9x = 0 + -5

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

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

Divide each side by '9'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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