3(2+x)=22(x-1)

Solution for 3(2+x)=22(x-1) equation:

Simplifying
3(2 + x) = 22(x + -1)
(2 * 3 + x * 3) = 22(x + -1)
(6 + 3x) = 22(x + -1)

Reorder the terms:
6 + 3x = 22(-1 + x)
6 + 3x = (-1 * 22 + x * 22)
6 + 3x = (-22 + 22x)

Solving
6 + 3x = -22 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
6 + 3x + -22x = -22 + 22x + -22x

Combine like terms: 3x + -22x = -19x
6 + -19x = -22 + 22x + -22x

Combine like terms: 22x + -22x = 0
6 + -19x = -22 + 0
6 + -19x = -22

Add '-6' to each side of the equation.
6 + -6 + -19x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + -19x = -22 + -6
-19x = -22 + -6

Combine like terms: -22 + -6 = -28
-19x = -28

Divide each side by '-19'.
x = 1.473684211

Simplifying
x = 1.473684211