42(x-1)-35x=42

Solution for 42(x-1)-35x=42 equation:

Simplifying
42(x + -1) + -35x = 42

Reorder the terms:
42(-1 + x) + -35x = 42
(-1 * 42 + x * 42) + -35x = 42
(-42 + 42x) + -35x = 42

Combine like terms: 42x + -35x = 7x
-42 + 7x = 42

Solving
-42 + 7x = 42

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 7x = 42 + 42

Combine like terms: -42 + 42 = 0
0 + 7x = 42 + 42
7x = 42 + 42

Combine like terms: 42 + 42 = 84
7x = 84

Divide each side by '7'.
x = 12

Simplifying
x = 12