(x-5)+(2x-3)=0

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Solution for (x-5)+(2x-3)=0 equation:


Simplifying
(x + -5) + (2x + -3) = 0

Reorder the terms:
(-5 + x) + (2x + -3) = 0

Remove parenthesis around (-5 + x)
-5 + x + (2x + -3) = 0

Reorder the terms:
-5 + x + (-3 + 2x) = 0

Remove parenthesis around (-3 + 2x)
-5 + x + -3 + 2x = 0

Reorder the terms:
-5 + -3 + x + 2x = 0

Combine like terms: -5 + -3 = -8
-8 + x + 2x = 0

Combine like terms: x + 2x = 3x
-8 + 3x = 0

Solving
-8 + 3x = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 3x = 0 + 8

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

Combine like terms: 0 + 8 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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