5x-9=2x-8+x+10

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Solution for 5x-9=2x-8+x+10 equation:


Simplifying
5x + -9 = 2x + -8 + x + 10

Reorder the terms:
-9 + 5x = 2x + -8 + x + 10

Reorder the terms:
-9 + 5x = -8 + 10 + 2x + x

Combine like terms: -8 + 10 = 2
-9 + 5x = 2 + 2x + x

Combine like terms: 2x + x = 3x
-9 + 5x = 2 + 3x

Solving
-9 + 5x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 5x + -3x = 2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-9 + 2x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 2x = 2 + 0
-9 + 2x = 2

Add '9' to each side of the equation.
-9 + 9 + 2x = 2 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 2 + 9
2x = 2 + 9

Combine like terms: 2 + 9 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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