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

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


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

Reorder the terms:
3(2 + x) + -2 + -1(x + -1) = 7
(2 * 3 + x * 3) + -2 + -1(x + -1) = 7
(6 + 3x) + -2 + -1(x + -1) = 7

Reorder the terms:
6 + 3x + -2 + -1(-1 + x) = 7
6 + 3x + -2 + (-1 * -1 + x * -1) = 7
6 + 3x + -2 + (1 + -1x) = 7

Reorder the terms:
6 + -2 + 1 + 3x + -1x = 7

Combine like terms: 6 + -2 = 4
4 + 1 + 3x + -1x = 7

Combine like terms: 4 + 1 = 5
5 + 3x + -1x = 7

Combine like terms: 3x + -1x = 2x
5 + 2x = 7

Solving
5 + 2x = 7

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 7 + -5
2x = 7 + -5

Combine like terms: 7 + -5 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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