6(x-1)=-2+42

Solution for 6(x-1)=-2+42 equation:

Simplifying
6(x + -1) = -2 + 42

Reorder the terms:
6(-1 + x) = -2 + 42
(-1 * 6 + x * 6) = -2 + 42
(-6 + 6x) = -2 + 42

Combine like terms: -2 + 42 = 40
-6 + 6x = 40

Solving
-6 + 6x = 40

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 6x = 40 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 40 + 6
6x = 40 + 6

Combine like terms: 40 + 6 = 46
6x = 46

Divide each side by '6'.
x = 7.666666667

Simplifying
x = 7.666666667