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

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

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

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

Reorder the terms:
6 + 2x = 5(-3 + x)
6 + 2x = (-3 * 5 + x * 5)
6 + 2x = (-15 + 5x)

Solving
6 + 2x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 2x + -5x = -15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
6 + -3x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -3x = -15 + 0
6 + -3x = -15

Add '-6' to each side of the equation.
6 + -6 + -3x = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -15 + -6
-3x = -15 + -6

Combine like terms: -15 + -6 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7