6-7x=71-42x

Solution for 6-7x=71-42x equation:

Simplifying
6 + -7x = 71 + -42x

Solving
6 + -7x = 71 + -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 + -7x + 42x = 71 + -42x + 42x

Combine like terms: -7x + 42x = 35x
6 + 35x = 71 + -42x + 42x

Combine like terms: -42x + 42x = 0
6 + 35x = 71 + 0
6 + 35x = 71

Add '-6' to each side of the equation.
6 + -6 + 35x = 71 + -6

Combine like terms: 6 + -6 = 0
0 + 35x = 71 + -6
35x = 71 + -6

Combine like terms: 71 + -6 = 65
35x = 65

Divide each side by '35'.
x = 1.857142857

Simplifying
x = 1.857142857