7x+6=8x+1

Solution for 7x+6=8x+1 equation:

Simplifying
7x + 6 = 8x + 1

Reorder the terms:
6 + 7x = 8x + 1

Reorder the terms:
6 + 7x = 1 + 8x

Solving
6 + 7x = 1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 7x + -8x = 1 + 8x + -8x

Combine like terms: 7x + -8x = -1x
6 + -1x = 1 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -1x = 1 + 0
6 + -1x = 1

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

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

Combine like terms: 1 + -6 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5