-5*(x+2)=15*(x-6)

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Solution for -5*(x+2)=15*(x-6) equation: 


Simplifying
-5(x + 2) = 15(x + -6)

Reorder the terms:
-5(2 + x) = 15(x + -6)
(2 * -5 + x * -5) = 15(x + -6)
(-10 + -5x) = 15(x + -6)

Reorder the terms:
-10 + -5x = 15(-6 + x)
-10 + -5x = (-6 * 15 + x * 15)
-10 + -5x = (-90 + 15x)

Solving
-10 + -5x = -90 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-10 + -5x + -15x = -90 + 15x + -15x

Combine like terms: -5x + -15x = -20x
-10 + -20x = -90 + 15x + -15x

Combine like terms: 15x + -15x = 0
-10 + -20x = -90 + 0
-10 + -20x = -90

Add '10' to each side of the equation.
-10 + 10 + -20x = -90 + 10

Combine like terms: -10 + 10 = 0
0 + -20x = -90 + 10
-20x = -90 + 10

Combine like terms: -90 + 10 = -80
-20x = -80

Divide each side by '-20'.
x = 4

Simplifying
x = 4

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