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

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

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

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

Reorder the terms:
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 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5