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

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


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

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

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

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

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

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

Combine like terms: -3 + -9 = -12
-12 + 5x + x = 5x

Combine like terms: 5x + x = 6x
-12 + 6x = 5x

Solving
-12 + 6x = 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.
-12 + 6x + -5x = 5x + -5x

Combine like terms: 6x + -5x = 1x
-12 + 1x = 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 1x = 0

Add '12' to each side of the equation.
-12 + 12 + 1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 0 + 12
1x = 0 + 12

Combine like terms: 0 + 12 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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