4[x+3]=x+6

Solution for 4[x+3]=x+6 equation:

Simplifying
4[x + 3] = x + 6

Reorder the terms:
4[3 + x] = x + 6
[3 * 4 + x * 4] = x + 6
[12 + 4x] = x + 6

Reorder the terms:
12 + 4x = 6 + x

Solving
12 + 4x = 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.
12 + 4x + -1x = 6 + x + -1x

Combine like terms: 4x + -1x = 3x
12 + 3x = 6 + x + -1x

Combine like terms: x + -1x = 0
12 + 3x = 6 + 0
12 + 3x = 6

Add '-12' to each side of the equation.
12 + -12 + 3x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 6 + -12
3x = 6 + -12

Combine like terms: 6 + -12 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2