3(x-2)=(5+x)

Solution for 3(x-2)=(5+x) equation:

Simplifying
3(x + -2) = (5 + x)

Reorder the terms:
3(-2 + x) = (5 + x)
(-2 * 3 + x * 3) = (5 + x)
(-6 + 3x) = (5 + x)

Remove parenthesis around (5 + x)
-6 + 3x = 5 + x

Solving
-6 + 3x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 3x + -1x = 5 + x + -1x

Combine like terms: 3x + -1x = 2x
-6 + 2x = 5 + x + -1x

Combine like terms: x + -1x = 0
-6 + 2x = 5 + 0
-6 + 2x = 5

Add '6' to each side of the equation.
-6 + 6 + 2x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 5 + 6
2x = 5 + 6

Combine like terms: 5 + 6 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5