6(3x+1)=3x-7x

Solution for 6(3x+1)=3x-7x equation:

Simplifying
6(3x + 1) = 3x + -7x

Reorder the terms:
6(1 + 3x) = 3x + -7x
(1 * 6 + 3x * 6) = 3x + -7x
(6 + 18x) = 3x + -7x

Combine like terms: 3x + -7x = -4x
6 + 18x = -4x

Solving
6 + 18x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 18x + 4x = -4x + 4x

Combine like terms: 18x + 4x = 22x
6 + 22x = -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 22x = 0

Add '-6' to each side of the equation.
6 + -6 + 22x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 22x = 0 + -6
22x = 0 + -6

Combine like terms: 0 + -6 = -6
22x = -6

Divide each side by '22'.
x = -0.2727272727

Simplifying
x = -0.2727272727