(5x-15)=(75-x)

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Solution for (5x-15)=(75-x) equation:


Simplifying
(5x + -15) = (75 + -1x)

Reorder the terms:
(-15 + 5x) = (75 + -1x)

Remove parenthesis around (-15 + 5x)
-15 + 5x = (75 + -1x)

Remove parenthesis around (75 + -1x)
-15 + 5x = 75 + -1x

Solving
-15 + 5x = 75 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-15 + 5x + x = 75 + -1x + x

Combine like terms: 5x + x = 6x
-15 + 6x = 75 + -1x + x

Combine like terms: -1x + x = 0
-15 + 6x = 75 + 0
-15 + 6x = 75

Add '15' to each side of the equation.
-15 + 15 + 6x = 75 + 15

Combine like terms: -15 + 15 = 0
0 + 6x = 75 + 15
6x = 75 + 15

Combine like terms: 75 + 15 = 90
6x = 90

Divide each side by '6'.
x = 15

Simplifying
x = 15

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