6(4x+7)=x

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

Simplifying
6(4x + 7) = x

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

Solving
42 + 24x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
42 + 24x + -1x = x + -1x

Combine like terms: 24x + -1x = 23x
42 + 23x = x + -1x

Combine like terms: x + -1x = 0
42 + 23x = 0

Add '-42' to each side of the equation.
42 + -42 + 23x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 23x = 0 + -42
23x = 0 + -42

Combine like terms: 0 + -42 = -42
23x = -42

Divide each side by '23'.
x = -1.826086957

Simplifying
x = -1.826086957