3(x+2)+2(x-4)=3(x+3)

Solution for 3(x+2)+2(x-4)=3(x+3) equation:

Simplifying
3(x + 2) + 2(x + -4) = 3(x + 3)

Reorder the terms:
3(2 + x) + 2(x + -4) = 3(x + 3)
(2 * 3 + x * 3) + 2(x + -4) = 3(x + 3)
(6 + 3x) + 2(x + -4) = 3(x + 3)

Reorder the terms:
6 + 3x + 2(-4 + x) = 3(x + 3)
6 + 3x + (-4 * 2 + x * 2) = 3(x + 3)
6 + 3x + (-8 + 2x) = 3(x + 3)

Reorder the terms:
6 + -8 + 3x + 2x = 3(x + 3)

Combine like terms: 6 + -8 = -2
-2 + 3x + 2x = 3(x + 3)

Combine like terms: 3x + 2x = 5x
-2 + 5x = 3(x + 3)

Reorder the terms:
-2 + 5x = 3(3 + x)
-2 + 5x = (3 * 3 + x * 3)
-2 + 5x = (9 + 3x)

Solving
-2 + 5x = 9 + 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.
-2 + 5x + -3x = 9 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-2 + 2x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 2x = 9 + 0
-2 + 2x = 9

Add '2' to each side of the equation.
-2 + 2 + 2x = 9 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 9 + 2
2x = 9 + 2

Combine like terms: 9 + 2 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5