3(x+2)=5(x-2)12

Solution for 3(x+2)=5(x-2)12 equation:

Simplifying
3(x + 2) = 5(x + -2) * 12

Reorder the terms:
3(2 + x) = 5(x + -2) * 12
(2 * 3 + x * 3) = 5(x + -2) * 12
(6 + 3x) = 5(x + -2) * 12

Reorder the terms:
6 + 3x = 5(-2 + x) * 12

Reorder the terms for easier multiplication:
6 + 3x = 5 * 12(-2 + x)

Multiply 5 * 12
6 + 3x = 60(-2 + x)
6 + 3x = (-2 * 60 + x * 60)
6 + 3x = (-120 + 60x)

Solving
6 + 3x = -120 + 60x

Solving for variable 'x'.

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

Add '-60x' to each side of the equation.
6 + 3x + -60x = -120 + 60x + -60x

Combine like terms: 3x + -60x = -57x
6 + -57x = -120 + 60x + -60x

Combine like terms: 60x + -60x = 0
6 + -57x = -120 + 0
6 + -57x = -120

Add '-6' to each side of the equation.
6 + -6 + -57x = -120 + -6

Combine like terms: 6 + -6 = 0
0 + -57x = -120 + -6
-57x = -120 + -6

Combine like terms: -120 + -6 = -126
-57x = -126

Divide each side by '-57'.
x = 2.210526316

Simplifying
x = 2.210526316