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

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

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

Reorder the terms:
6(1 + 3x) = 5x + -6x
(1 * 6 + 3x * 6) = 5x + -6x
(6 + 18x) = 5x + -6x

Combine like terms: 5x + -6x = -1x
6 + 18x = -1x

Solving
6 + 18x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 18x + x = -1x + x

Combine like terms: 18x + x = 19x
6 + 19x = -1x + x

Combine like terms: -1x + x = 0
6 + 19x = 0

Add '-6' to each side of the equation.
6 + -6 + 19x = 0 + -6

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

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

Divide each side by '19'.
x = -0.3157894737

Simplifying
x = -0.3157894737