7x+1=(1+x)*6

Solution for 7x+1=(1+x)*6 equation:

Simplifying
7x + 1 = (1 + x) * 6

Reorder the terms:
1 + 7x = (1 + x) * 6

Reorder the terms for easier multiplication:
1 + 7x = 6(1 + x)
1 + 7x = (1 * 6 + x * 6)
1 + 7x = (6 + 6x)

Solving
1 + 7x = 6 + 6x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '1'.
x = 5

Simplifying
x = 5