3(x-2)+8=2(x+3)

Solution for 3(x-2)+8=2(x+3) equation:

Simplifying
3(x + -2) + 8 = 2(x + 3)

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

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

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

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

Solving
2 + 3x = 6 + 2x

Solving for variable 'x'.

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + 1x = 6 + -2

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

Combine like terms: 6 + -2 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4