x+6(x+1)=7(3+x)

Solution for x+6(x+1)=7(3+x) equation:

Simplifying
x + 6(x + 1) = 7(3 + x)

Reorder the terms:
x + 6(1 + x) = 7(3 + x)
x + (1 * 6 + x * 6) = 7(3 + x)
x + (6 + 6x) = 7(3 + x)

Reorder the terms:
6 + x + 6x = 7(3 + x)

Combine like terms: x + 6x = 7x
6 + 7x = 7(3 + x)
6 + 7x = (3 * 7 + x * 7)
6 + 7x = (21 + 7x)

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

Combine like terms: 7x + -7x = 0
6 + 0 = 21 + 7x + -7x
6 = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 = 21 + 0
6 = 21

Solving
6 = 21

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.