3(x+2)-5(x-1)=6-(3x+5)

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Solution for 3(x+2)-5(x-1)=6-(3x+5) equation:


Simplifying
3(x + 2) + -5(x + -1) = 6 + -1(3x + 5)

Reorder the terms:
3(2 + x) + -5(x + -1) = 6 + -1(3x + 5)
(2 * 3 + x * 3) + -5(x + -1) = 6 + -1(3x + 5)
(6 + 3x) + -5(x + -1) = 6 + -1(3x + 5)

Reorder the terms:
6 + 3x + -5(-1 + x) = 6 + -1(3x + 5)
6 + 3x + (-1 * -5 + x * -5) = 6 + -1(3x + 5)
6 + 3x + (5 + -5x) = 6 + -1(3x + 5)

Reorder the terms:
6 + 5 + 3x + -5x = 6 + -1(3x + 5)

Combine like terms: 6 + 5 = 11
11 + 3x + -5x = 6 + -1(3x + 5)

Combine like terms: 3x + -5x = -2x
11 + -2x = 6 + -1(3x + 5)

Reorder the terms:
11 + -2x = 6 + -1(5 + 3x)
11 + -2x = 6 + (5 * -1 + 3x * -1)
11 + -2x = 6 + (-5 + -3x)

Combine like terms: 6 + -5 = 1
11 + -2x = 1 + -3x

Solving
11 + -2x = 1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
11 + -2x + 3x = 1 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
11 + 1x = 1 + 0
11 + 1x = 1

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

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

Combine like terms: 1 + -11 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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