6(x-5)=x+15

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Solution for 6(x-5)=x+15 equation:


Simplifying
6(x + -5) = x + 15

Reorder the terms:
6(-5 + x) = x + 15
(-5 * 6 + x * 6) = x + 15
(-30 + 6x) = x + 15

Reorder the terms:
-30 + 6x = 15 + x

Solving
-30 + 6x = 15 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-30 + 6x + -1x = 15 + x + -1x

Combine like terms: 6x + -1x = 5x
-30 + 5x = 15 + x + -1x

Combine like terms: x + -1x = 0
-30 + 5x = 15 + 0
-30 + 5x = 15

Add '30' to each side of the equation.
-30 + 30 + 5x = 15 + 30

Combine like terms: -30 + 30 = 0
0 + 5x = 15 + 30
5x = 15 + 30

Combine like terms: 15 + 30 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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