3(x+3)-2(x-1)=5(x-5)

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Solution for 3(x+3)-2(x-1)=5(x-5) equation:


Simplifying
3(x + 3) + -2(x + -1) = 5(x + -5)

Reorder the terms:
3(3 + x) + -2(x + -1) = 5(x + -5)
(3 * 3 + x * 3) + -2(x + -1) = 5(x + -5)
(9 + 3x) + -2(x + -1) = 5(x + -5)

Reorder the terms:
9 + 3x + -2(-1 + x) = 5(x + -5)
9 + 3x + (-1 * -2 + x * -2) = 5(x + -5)
9 + 3x + (2 + -2x) = 5(x + -5)

Reorder the terms:
9 + 2 + 3x + -2x = 5(x + -5)

Combine like terms: 9 + 2 = 11
11 + 3x + -2x = 5(x + -5)

Combine like terms: 3x + -2x = 1x
11 + 1x = 5(x + -5)

Reorder the terms:
11 + 1x = 5(-5 + x)
11 + 1x = (-5 * 5 + x * 5)
11 + 1x = (-25 + 5x)

Solving
11 + 1x = -25 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11 + 1x + -5x = -25 + 5x + -5x

Combine like terms: 1x + -5x = -4x
11 + -4x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -4x = -25 + 0
11 + -4x = -25

Add '-11' to each side of the equation.
11 + -11 + -4x = -25 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = -25 + -11
-4x = -25 + -11

Combine like terms: -25 + -11 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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