3(x+1)=(x+6)

Solution for 3(x+1)=(x+6) equation:

Simplifying
3(x + 1) = (x + 6)

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

Reorder the terms:
3 + 3x = (6 + x)

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

Solving
3 + 3x = 6 + 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.
3 + 3x + -1x = 6 + x + -1x

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

Combine like terms: x + -1x = 0
3 + 2x = 6 + 0
3 + 2x = 6

Add '-3' to each side of the equation.
3 + -3 + 2x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 6 + -3
2x = 6 + -3

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

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5