2*(x+3)-5*(3x-1)=6x-8

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Solution for 2*(x+3)-5*(3x-1)=6x-8 equation:


Simplifying
2(x + 3) + -5(3x + -1) = 6x + -8

Reorder the terms:
2(3 + x) + -5(3x + -1) = 6x + -8
(3 * 2 + x * 2) + -5(3x + -1) = 6x + -8
(6 + 2x) + -5(3x + -1) = 6x + -8

Reorder the terms:
6 + 2x + -5(-1 + 3x) = 6x + -8
6 + 2x + (-1 * -5 + 3x * -5) = 6x + -8
6 + 2x + (5 + -15x) = 6x + -8

Reorder the terms:
6 + 5 + 2x + -15x = 6x + -8

Combine like terms: 6 + 5 = 11
11 + 2x + -15x = 6x + -8

Combine like terms: 2x + -15x = -13x
11 + -13x = 6x + -8

Reorder the terms:
11 + -13x = -8 + 6x

Solving
11 + -13x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + -13x + -6x = -8 + 6x + -6x

Combine like terms: -13x + -6x = -19x
11 + -19x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -19x = -8 + 0
11 + -19x = -8

Add '-11' to each side of the equation.
11 + -11 + -19x = -8 + -11

Combine like terms: 11 + -11 = 0
0 + -19x = -8 + -11
-19x = -8 + -11

Combine like terms: -8 + -11 = -19
-19x = -19

Divide each side by '-19'.
x = 1

Simplifying
x = 1

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