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

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


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

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

Remove parenthesis around (1 + x)
1 + x = -2(x + -2)

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

Solving
1 + x = 4 + -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.
1 + x + 2x = 4 + -2x + 2x

Combine like terms: x + 2x = 3x
1 + 3x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 3x = 4 + 0
1 + 3x = 4

Add '-1' to each side of the equation.
1 + -1 + 3x = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 4 + -1
3x = 4 + -1

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

Divide each side by '3'.
x = 1

Simplifying
x = 1

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