3(x-1)+2=7-(2x-2)

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Solution for 3(x-1)+2=7-(2x-2) equation:


Simplifying
3(x + -1) + 2 = 7 + -1(2x + -2)

Reorder the terms:
3(-1 + x) + 2 = 7 + -1(2x + -2)
(-1 * 3 + x * 3) + 2 = 7 + -1(2x + -2)
(-3 + 3x) + 2 = 7 + -1(2x + -2)

Reorder the terms:
-3 + 2 + 3x = 7 + -1(2x + -2)

Combine like terms: -3 + 2 = -1
-1 + 3x = 7 + -1(2x + -2)

Reorder the terms:
-1 + 3x = 7 + -1(-2 + 2x)
-1 + 3x = 7 + (-2 * -1 + 2x * -1)
-1 + 3x = 7 + (2 + -2x)

Combine like terms: 7 + 2 = 9
-1 + 3x = 9 + -2x

Solving
-1 + 3x = 9 + -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 + 3x + 2x = 9 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-1 + 5x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + 5x = 9 + 0
-1 + 5x = 9

Add '1' to each side of the equation.
-1 + 1 + 5x = 9 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 9 + 1
5x = 9 + 1

Combine like terms: 9 + 1 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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