x+22=7(6+3x)

Solution for x+22=7(6+3x) equation:

Simplifying
x + 22 = 7(6 + 3x)

Reorder the terms:
22 + x = 7(6 + 3x)
22 + x = (6 * 7 + 3x * 7)
22 + x = (42 + 21x)

Solving
22 + x = 42 + 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.
22 + x + -21x = 42 + 21x + -21x

Combine like terms: x + -21x = -20x
22 + -20x = 42 + 21x + -21x

Combine like terms: 21x + -21x = 0
22 + -20x = 42 + 0
22 + -20x = 42

Add '-22' to each side of the equation.
22 + -22 + -20x = 42 + -22

Combine like terms: 22 + -22 = 0
0 + -20x = 42 + -22
-20x = 42 + -22

Combine like terms: 42 + -22 = 20
-20x = 20

Divide each side by '-20'.
x = -1

Simplifying
x = -1