6(4x+7)=11x-6+x

Solution for 6(4x+7)=11x-6+x equation:

Simplifying
6(4x + 7) = 11x + -6 + x

Reorder the terms:
6(7 + 4x) = 11x + -6 + x
(7 * 6 + 4x * 6) = 11x + -6 + x
(42 + 24x) = 11x + -6 + x

Reorder the terms:
42 + 24x = -6 + 11x + x

Combine like terms: 11x + x = 12x
42 + 24x = -6 + 12x

Solving
42 + 24x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
42 + 24x + -12x = -6 + 12x + -12x

Combine like terms: 24x + -12x = 12x
42 + 12x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
42 + 12x = -6 + 0
42 + 12x = -6

Add '-42' to each side of the equation.
42 + -42 + 12x = -6 + -42

Combine like terms: 42 + -42 = 0
0 + 12x = -6 + -42
12x = -6 + -42

Combine like terms: -6 + -42 = -48
12x = -48

Divide each side by '12'.
x = -4

Simplifying
x = -4