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

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


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

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

Combine like terms: 3 + 2 = 5
5 + -1x = 3(x + 1)

Reorder the terms:
5 + -1x = 3(1 + x)
5 + -1x = (1 * 3 + x * 3)
5 + -1x = (3 + 3x)

Solving
5 + -1x = 3 + 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.
5 + -1x + -3x = 3 + 3x + -3x

Combine like terms: -1x + -3x = -4x
5 + -4x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -4x = 3 + 0
5 + -4x = 3

Add '-5' to each side of the equation.
5 + -5 + -4x = 3 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 3 + -5
-4x = 3 + -5

Combine like terms: 3 + -5 = -2
-4x = -2

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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