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

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


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

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

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

Solving
2 + 2x = -2 + 1x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = -4

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