(X+x+3)(2)=(14+x-4)(2)

Solution for (X+x+3)(2)=(14+x-4)(2) equation:

Simplifying
(X + x + 3)(2) = (14 + x + -4)(2)

Reorder the terms:
(3 + X + x)(2) = (14 + x + -4)(2)

Reorder the terms for easier multiplication:
2(3 + X + x) = (14 + x + -4)(2)
(3 * 2 + X * 2 + x * 2) = (14 + x + -4)(2)
(6 + 2X + 2x) = (14 + x + -4)(2)

Reorder the terms:
6 + 2X + 2x = (14 + -4 + x)(2)

Combine like terms: 14 + -4 = 10
6 + 2X + 2x = (10 + x)(2)

Reorder the terms for easier multiplication:
6 + 2X + 2x = 2(10 + x)
6 + 2X + 2x = (10 * 2 + x * 2)
6 + 2X + 2x = (20 + 2x)

Add '-2x' to each side of the equation.
6 + 2X + 2x + -2x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 2X + 0 = 20 + 2x + -2x
6 + 2X = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 2X = 20 + 0
6 + 2X = 20

Solving
6 + 2X = 20

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + -6 + 2X = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 2X = 20 + -6
2X = 20 + -6

Combine like terms: 20 + -6 = 14
2X = 14

Divide each side by '2'.
X = 7

Simplifying
X = 7