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

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


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

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

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

Remove parenthesis around (2 + x)
3 + -3x = 2 + x + 2

Reorder the terms:
3 + -3x = 2 + 2 + x

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

Solving
3 + -3x = 4 + x

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.
3 + -3x + -1x = 4 + x + -1x

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

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

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

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

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

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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