5x-2+8x-5=9x-5+1x

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Solution for 5x-2+8x-5=9x-5+1x equation:


Simplifying
5x + -2 + 8x + -5 = 9x + -5 + 1x

Reorder the terms:
-2 + -5 + 5x + 8x = 9x + -5 + 1x

Combine like terms: -2 + -5 = -7
-7 + 5x + 8x = 9x + -5 + 1x

Combine like terms: 5x + 8x = 13x
-7 + 13x = 9x + -5 + 1x

Reorder the terms:
-7 + 13x = -5 + 9x + 1x

Combine like terms: 9x + 1x = 10x
-7 + 13x = -5 + 10x

Solving
-7 + 13x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-7 + 13x + -10x = -5 + 10x + -10x

Combine like terms: 13x + -10x = 3x
-7 + 3x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-7 + 3x = -5 + 0
-7 + 3x = -5

Add '7' to each side of the equation.
-7 + 7 + 3x = -5 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = -5 + 7
3x = -5 + 7

Combine like terms: -5 + 7 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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