5(x-3)=15-x

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Solution for 5(x-3)=15-x equation:


Simplifying
5(x + -3) = 15 + -1x

Reorder the terms:
5(-3 + x) = 15 + -1x
(-3 * 5 + x * 5) = 15 + -1x
(-15 + 5x) = 15 + -1x

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

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

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

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

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

Combine like terms: 15 + 15 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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