2(3+2X)=2(X+5)

Solution for 2(3+2X)=2(X+5) equation:

Simplifying
2(3 + 2X) = 2(X + 5)
(3 * 2 + 2X * 2) = 2(X + 5)
(6 + 4X) = 2(X + 5)

Reorder the terms:
6 + 4X = 2(5 + X)
6 + 4X = (5 * 2 + X * 2)
6 + 4X = (10 + 2X)

Solving
6 + 4X = 10 + 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.
6 + 4X + -2X = 10 + 2X + -2X

Combine like terms: 4X + -2X = 2X
6 + 2X = 10 + 2X + -2X

Combine like terms: 2X + -2X = 0
6 + 2X = 10 + 0
6 + 2X = 10

Add '-6' to each side of the equation.
6 + -6 + 2X = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2X = 10 + -6
2X = 10 + -6

Combine like terms: 10 + -6 = 4
2X = 4

Divide each side by '2'.
X = 2

Simplifying
X = 2