7x-6=x+54

Solution for 7x-6=x+54 equation:

Simplifying
7x + -6 = x + 54

Reorder the terms:
-6 + 7x = x + 54

Reorder the terms:
-6 + 7x = 54 + x

Solving
-6 + 7x = 54 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 7x + -1x = 54 + x + -1x

Combine like terms: 7x + -1x = 6x
-6 + 6x = 54 + x + -1x

Combine like terms: x + -1x = 0
-6 + 6x = 54 + 0
-6 + 6x = 54

Add '6' to each side of the equation.
-6 + 6 + 6x = 54 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 54 + 6
6x = 54 + 6

Combine like terms: 54 + 6 = 60
6x = 60

Divide each side by '6'.
x = 10

Simplifying
x = 10