6+3(x-4)=3[6-5(x+3)]

Solution for 6+3(x-4)=3[6-5(x+3)] equation:

Simplifying
6 + 3(x + -4) = 3[6 + -5(x + 3)]

Reorder the terms:
6 + 3(-4 + x) = 3[6 + -5(x + 3)]
6 + (-4 * 3 + x * 3) = 3[6 + -5(x + 3)]
6 + (-12 + 3x) = 3[6 + -5(x + 3)]

Combine like terms: 6 + -12 = -6
-6 + 3x = 3[6 + -5(x + 3)]

Reorder the terms:
-6 + 3x = 3[6 + -5(3 + x)]
-6 + 3x = 3[6 + (3 * -5 + x * -5)]
-6 + 3x = 3[6 + (-15 + -5x)]

Combine like terms: 6 + -15 = -9
-6 + 3x = 3[-9 + -5x]
-6 + 3x = [-9 * 3 + -5x * 3]
-6 + 3x = [-27 + -15x]

Solving
-6 + 3x = -27 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-6 + 3x + 15x = -27 + -15x + 15x

Combine like terms: 3x + 15x = 18x
-6 + 18x = -27 + -15x + 15x

Combine like terms: -15x + 15x = 0
-6 + 18x = -27 + 0
-6 + 18x = -27

Add '6' to each side of the equation.
-6 + 6 + 18x = -27 + 6

Combine like terms: -6 + 6 = 0
0 + 18x = -27 + 6
18x = -27 + 6

Combine like terms: -27 + 6 = -21
18x = -21

Divide each side by '18'.
x = -1.166666667

Simplifying
x = -1.166666667