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

Combine like terms: -3x + 3x = 0
2 + 5x = 6 + 0
2 + 5x = 6

Add '-2' to each side of the equation.
2 + -2 + 5x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 6 + -2
5x = 6 + -2

Combine like terms: 6 + -2 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8

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