8X+2(3+2X)=3(6+2X)

Solution for 8X+2(3+2X)=3(6+2X) equation:

Simplifying
8X + 2(3 + 2X) = 3(6 + 2X)
8X + (3 * 2 + 2X * 2) = 3(6 + 2X)
8X + (6 + 4X) = 3(6 + 2X)

Reorder the terms:
6 + 8X + 4X = 3(6 + 2X)

Combine like terms: 8X + 4X = 12X
6 + 12X = 3(6 + 2X)
6 + 12X = (6 * 3 + 2X * 3)
6 + 12X = (18 + 6X)

Solving
6 + 12X = 18 + 6X

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
6 + 12X + -6X = 18 + 6X + -6X

Combine like terms: 12X + -6X = 6X
6 + 6X = 18 + 6X + -6X

Combine like terms: 6X + -6X = 0
6 + 6X = 18 + 0
6 + 6X = 18

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

Combine like terms: 6 + -6 = 0
0 + 6X = 18 + -6
6X = 18 + -6

Combine like terms: 18 + -6 = 12
6X = 12

Divide each side by '6'.
X = 2

Simplifying
X = 2