-3(2x+2)=2(x+5)

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Solution for -3(2x+2)=2(x+5) equation:


Simplifying
-3(2x + 2) = 2(x + 5)

Reorder the terms:
-3(2 + 2x) = 2(x + 5)
(2 * -3 + 2x * -3) = 2(x + 5)
(-6 + -6x) = 2(x + 5)

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

Solving
-6 + -6x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + -6x + -2x = 10 + 2x + -2x

Combine like terms: -6x + -2x = -8x
-6 + -8x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + -8x = 10 + 0
-6 + -8x = 10

Add '6' to each side of the equation.
-6 + 6 + -8x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = 10 + 6
-8x = 10 + 6

Combine like terms: 10 + 6 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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