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

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

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

Reorder the terms:
6(1 + 5x) = 5x + -6x
(1 * 6 + 5x * 6) = 5x + -6x
(6 + 30x) = 5x + -6x

Combine like terms: 5x + -6x = -1x
6 + 30x = -1x

Solving
6 + 30x = -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 + 30x + x = -1x + x

Combine like terms: 30x + x = 31x
6 + 31x = -1x + x

Combine like terms: -1x + x = 0
6 + 31x = 0

Add '-6' to each side of the equation.
6 + -6 + 31x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 31x = 0 + -6
31x = 0 + -6

Combine like terms: 0 + -6 = -6
31x = -6

Divide each side by '31'.
x = -0.1935483871

Simplifying
x = -0.1935483871