6-7x=61-42x

Solution for 6-7x=61-42x equation:

Simplifying
6 + -7x = 61 + -42x

Solving
6 + -7x = 61 + -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 = 61 + -42x + 42x

Combine like terms: -7x + 42x = 35x
6 + 35x = 61 + -42x + 42x

Combine like terms: -42x + 42x = 0
6 + 35x = 61 + 0
6 + 35x = 61

Add '-6' to each side of the equation.
6 + -6 + 35x = 61 + -6

Combine like terms: 6 + -6 = 0
0 + 35x = 61 + -6
35x = 61 + -6

Combine like terms: 61 + -6 = 55
35x = 55

Divide each side by '35'.
x = 1.571428571

Simplifying
x = 1.571428571