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

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


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

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

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

Solving
-2 + -2x = -6 + -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.
-2 + -2x + 3x = -6 + -3x + 3x

Combine like terms: -2x + 3x = 1x
-2 + 1x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 1x = -6 + 0
-2 + 1x = -6

Add '2' to each side of the equation.
-2 + 2 + 1x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = -6 + 2
1x = -6 + 2

Combine like terms: -6 + 2 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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