2(x-1)=6-3(x+1)

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Solution for 2(x-1)=6-3(x+1) equation:


Simplifying
2(x + -1) = 6 + -3(x + 1)

Reorder the terms:
2(-1 + x) = 6 + -3(x + 1)
(-1 * 2 + x * 2) = 6 + -3(x + 1)
(-2 + 2x) = 6 + -3(x + 1)

Reorder the terms:
-2 + 2x = 6 + -3(1 + x)
-2 + 2x = 6 + (1 * -3 + x * -3)
-2 + 2x = 6 + (-3 + -3x)

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

Solving
-2 + 2x = 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.
-2 + 2x + 3x = 3 + -3x + 3x

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

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 3 + 2

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

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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