-2(x+4)=3(-x-1)

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Solution for -2(x+4)=3(-x-1) equation:


Simplifying
-2(x + 4) = 3(-1x + -1)

Reorder the terms:
-2(4 + x) = 3(-1x + -1)
(4 * -2 + x * -2) = 3(-1x + -1)
(-8 + -2x) = 3(-1x + -1)

Reorder the terms:
-8 + -2x = 3(-1 + -1x)
-8 + -2x = (-1 * 3 + -1x * 3)
-8 + -2x = (-3 + -3x)

Solving
-8 + -2x = -3 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + -2x + 3x = -3 + -3x + 3x

Combine like terms: -2x + 3x = 1x
-8 + 1x = -3 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 1x = -3 + 0
-8 + 1x = -3

Add '8' to each side of the equation.
-8 + 8 + 1x = -3 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -3 + 8
1x = -3 + 8

Combine like terms: -3 + 8 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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