6-7x=78-28x

Solution for 6-7x=78-28x equation:

Simplifying
6 + -7x = 78 + -28x

Solving
6 + -7x = 78 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
6 + -7x + 28x = 78 + -28x + 28x

Combine like terms: -7x + 28x = 21x
6 + 21x = 78 + -28x + 28x

Combine like terms: -28x + 28x = 0
6 + 21x = 78 + 0
6 + 21x = 78

Add '-6' to each side of the equation.
6 + -6 + 21x = 78 + -6

Combine like terms: 6 + -6 = 0
0 + 21x = 78 + -6
21x = 78 + -6

Combine like terms: 78 + -6 = 72
21x = 72

Divide each side by '21'.
x = 3.428571429

Simplifying
x = 3.428571429