42(x-1)=-7(6-x)+35x

Solution for 42(x-1)=-7(6-x)+35x equation:

Simplifying
42(x + -1) = -7(6 + -1x) + 35x

Reorder the terms:
42(-1 + x) = -7(6 + -1x) + 35x
(-1 * 42 + x * 42) = -7(6 + -1x) + 35x
(-42 + 42x) = -7(6 + -1x) + 35x
-42 + 42x = (6 * -7 + -1x * -7) + 35x
-42 + 42x = (-42 + 7x) + 35x

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.