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

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

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

Reorder the terms:
3(2 + x) = 2(5 + -2x)
(2 * 3 + x * 3) = 2(5 + -2x)
(6 + 3x) = 2(5 + -2x)
6 + 3x = (5 * 2 + -2x * 2)
6 + 3x = (10 + -4x)

Solving
6 + 3x = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 3x + 4x = 10 + -4x + 4x

Combine like terms: 3x + 4x = 7x
6 + 7x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 7x = 10 + 0
6 + 7x = 10

Add '-6' to each side of the equation.
6 + -6 + 7x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 10 + -6
7x = 10 + -6

Combine like terms: 10 + -6 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714