3(x+1)-2(x-1)=9

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Solution for 3(x+1)-2(x-1)=9 equation:


Simplifying
3(x + 1) + -2(x + -1) = 9

Reorder the terms:
3(1 + x) + -2(x + -1) = 9
(1 * 3 + x * 3) + -2(x + -1) = 9
(3 + 3x) + -2(x + -1) = 9

Reorder the terms:
3 + 3x + -2(-1 + x) = 9
3 + 3x + (-1 * -2 + x * -2) = 9
3 + 3x + (2 + -2x) = 9

Reorder the terms:
3 + 2 + 3x + -2x = 9

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

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

Solving
5 + 1x = 9

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 + 1x = 9 + -5

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

Combine like terms: 9 + -5 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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