5x-3(x+2)=15

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

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

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

Reorder the terms:
-6 + 5x + -3x = 15

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

Solving
-6 + 2x = 15

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 = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 15 + 6
2x = 15 + 6

Combine like terms: 15 + 6 = 21
2x = 21

Divide each side by '2'.
x = 10.5

Simplifying
x = 10.5