-6(x-2)=10(x+6)

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Solution for -6(x-2)=10(x+6) equation:


Simplifying
-6(x + -2) = 10(x + 6)

Reorder the terms:
-6(-2 + x) = 10(x + 6)
(-2 * -6 + x * -6) = 10(x + 6)
(12 + -6x) = 10(x + 6)

Reorder the terms:
12 + -6x = 10(6 + x)
12 + -6x = (6 * 10 + x * 10)
12 + -6x = (60 + 10x)

Solving
12 + -6x = 60 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + -6x + -10x = 60 + 10x + -10x

Combine like terms: -6x + -10x = -16x
12 + -16x = 60 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -16x = 60 + 0
12 + -16x = 60

Add '-12' to each side of the equation.
12 + -12 + -16x = 60 + -12

Combine like terms: 12 + -12 = 0
0 + -16x = 60 + -12
-16x = 60 + -12

Combine like terms: 60 + -12 = 48
-16x = 48

Divide each side by '-16'.
x = -3

Simplifying
x = -3

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