5(3x-6)=6(x+13)

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Solution for 5(3x-6)=6(x+13) equation:


Simplifying
5(3x + -6) = 6(x + 13)

Reorder the terms:
5(-6 + 3x) = 6(x + 13)
(-6 * 5 + 3x * 5) = 6(x + 13)
(-30 + 15x) = 6(x + 13)

Reorder the terms:
-30 + 15x = 6(13 + x)
-30 + 15x = (13 * 6 + x * 6)
-30 + 15x = (78 + 6x)

Solving
-30 + 15x = 78 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-30 + 15x + -6x = 78 + 6x + -6x

Combine like terms: 15x + -6x = 9x
-30 + 9x = 78 + 6x + -6x

Combine like terms: 6x + -6x = 0
-30 + 9x = 78 + 0
-30 + 9x = 78

Add '30' to each side of the equation.
-30 + 30 + 9x = 78 + 30

Combine like terms: -30 + 30 = 0
0 + 9x = 78 + 30
9x = 78 + 30

Combine like terms: 78 + 30 = 108
9x = 108

Divide each side by '9'.
x = 12

Simplifying
x = 12

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