6(x+1)=42x-18

Solution for 6(x+1)=42x-18 equation:

Simplifying
6(x + 1) = 42x + -18

Reorder the terms:
6(1 + x) = 42x + -18
(1 * 6 + x * 6) = 42x + -18
(6 + 6x) = 42x + -18

Reorder the terms:
6 + 6x = -18 + 42x

Solving
6 + 6x = -18 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
6 + 6x + -42x = -18 + 42x + -42x

Combine like terms: 6x + -42x = -36x
6 + -36x = -18 + 42x + -42x

Combine like terms: 42x + -42x = 0
6 + -36x = -18 + 0
6 + -36x = -18

Add '-6' to each side of the equation.
6 + -6 + -36x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -36x = -18 + -6
-36x = -18 + -6

Combine like terms: -18 + -6 = -24
-36x = -24

Divide each side by '-36'.
x = 0.6666666667

Simplifying
x = 0.6666666667