3(x+3)-2(x-1)=17

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Solution for 3(x+3)-2(x-1)=17 equation: 


Simplifying
3(x + 3) + -2(x + -1) = 17

Reorder the terms:
3(3 + x) + -2(x + -1) = 17
(3 * 3 + x * 3) + -2(x + -1) = 17
(9 + 3x) + -2(x + -1) = 17

Reorder the terms:
9 + 3x + -2(-1 + x) = 17
9 + 3x + (-1 * -2 + x * -2) = 17
9 + 3x + (2 + -2x) = 17

Reorder the terms:
9 + 2 + 3x + -2x = 17

Combine like terms: 9 + 2 = 11
11 + 3x + -2x = 17

Combine like terms: 3x + -2x = 1x
11 + 1x = 17

Solving
11 + 1x = 17

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 1x = 17 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 17 + -11
1x = 17 + -11

Combine like terms: 17 + -11 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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