6-7x=78-21x

Solution for 6-7x=78-21x equation:

Simplifying
6 + -7x = 78 + -21x

Solving
6 + -7x = 78 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
6 + -7x + 21x = 78 + -21x + 21x

Combine like terms: -7x + 21x = 14x
6 + 14x = 78 + -21x + 21x

Combine like terms: -21x + 21x = 0
6 + 14x = 78 + 0
6 + 14x = 78

Add '-6' to each side of the equation.
6 + -6 + 14x = 78 + -6

Combine like terms: 6 + -6 = 0
0 + 14x = 78 + -6
14x = 78 + -6

Combine like terms: 78 + -6 = 72
14x = 72

Divide each side by '14'.
x = 5.142857143

Simplifying
x = 5.142857143