7x+6=21(x+1)

Solution for 7x+6=21(x+1) equation:

Simplifying
7x + 6 = 21(x + 1)

Reorder the terms:
6 + 7x = 21(x + 1)

Reorder the terms:
6 + 7x = 21(1 + x)
6 + 7x = (1 * 21 + x * 21)
6 + 7x = (21 + 21x)

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -14x = 21 + -6

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

Combine like terms: 21 + -6 = 15
-14x = 15

Divide each side by '-14'.
x = -1.071428571

Simplifying
x = -1.071428571