3(x-3)+15=2(x+5)

Solution for 3(x-3)+15=2(x+5) equation:

Simplifying
3(x + -3) + 15 = 2(x + 5)

Reorder the terms:
3(-3 + x) + 15 = 2(x + 5)
(-3 * 3 + x * 3) + 15 = 2(x + 5)
(-9 + 3x) + 15 = 2(x + 5)

Reorder the terms:
-9 + 15 + 3x = 2(x + 5)

Combine like terms: -9 + 15 = 6
6 + 3x = 2(x + 5)

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

Solving
6 + 3x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 3x + -2x = 10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
6 + 1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 1x = 10 + 0
6 + 1x = 10

Add '-6' to each side of the equation.
6 + -6 + 1x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 10 + -6
1x = 10 + -6

Combine like terms: 10 + -6 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4