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

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

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

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

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

Combine like terms: 5 + 6 = 11
6 + 2x = 11 + -3X

Solving
6 + 2x = 11 + -3X

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 = 11 + -6 + -3X

Combine like terms: 6 + -6 = 0
0 + 2x = 11 + -6 + -3X
2x = 11 + -6 + -3X

Combine like terms: 11 + -6 = 5
2x = 5 + -3X

Divide each side by '2'.
x = 2.5 + -1.5X

Simplifying
x = 2.5 + -1.5X