3(x+4)-5(x-1)=9x-5

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Solution for 3(x+4)-5(x-1)=9x-5 equation: 


Simplifying
3(x + 4) + -5(x + -1) = 9x + -5

Reorder the terms:
3(4 + x) + -5(x + -1) = 9x + -5
(4 * 3 + x * 3) + -5(x + -1) = 9x + -5
(12 + 3x) + -5(x + -1) = 9x + -5

Reorder the terms:
12 + 3x + -5(-1 + x) = 9x + -5
12 + 3x + (-1 * -5 + x * -5) = 9x + -5
12 + 3x + (5 + -5x) = 9x + -5

Reorder the terms:
12 + 5 + 3x + -5x = 9x + -5

Combine like terms: 12 + 5 = 17
17 + 3x + -5x = 9x + -5

Combine like terms: 3x + -5x = -2x
17 + -2x = 9x + -5

Reorder the terms:
17 + -2x = -5 + 9x

Solving
17 + -2x = -5 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
17 + -2x + -9x = -5 + 9x + -9x

Combine like terms: -2x + -9x = -11x
17 + -11x = -5 + 9x + -9x

Combine like terms: 9x + -9x = 0
17 + -11x = -5 + 0
17 + -11x = -5

Add '-17' to each side of the equation.
17 + -17 + -11x = -5 + -17

Combine like terms: 17 + -17 = 0
0 + -11x = -5 + -17
-11x = -5 + -17

Combine like terms: -5 + -17 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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