x+6=3(x+1)

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

Simplifying
x + 6 = 3(x + 1)

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

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

Solving
6 + x = 3 + 3x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5