-3(-x-6)=2(2x+5)

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Solution for -3(-x-6)=2(2x+5) equation:


Simplifying
-3(-1x + -6) = 2(2x + 5)

Reorder the terms:
-3(-6 + -1x) = 2(2x + 5)
(-6 * -3 + -1x * -3) = 2(2x + 5)
(18 + 3x) = 2(2x + 5)

Reorder the terms:
18 + 3x = 2(5 + 2x)
18 + 3x = (5 * 2 + 2x * 2)
18 + 3x = (10 + 4x)

Solving
18 + 3x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + 3x + -4x = 10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
18 + -1x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -1x = 10 + 0
18 + -1x = 10

Add '-18' to each side of the equation.
18 + -18 + -1x = 10 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 10 + -18
-1x = 10 + -18

Combine like terms: 10 + -18 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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