5x-2(x+3)=-21

Solution for 5x-2(x+3)=-21 equation:

Simplifying
5x + -2(x + 3) = -21

Reorder the terms:
5x + -2(3 + x) = -21
5x + (3 * -2 + x * -2) = -21
5x + (-6 + -2x) = -21

Reorder the terms:
-6 + 5x + -2x = -21

Combine like terms: 5x + -2x = 3x
-6 + 3x = -21

Solving
-6 + 3x = -21

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 + 3x = -21 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = -21 + 6
3x = -21 + 6

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

Divide each side by '3'.
x = -5

Simplifying
x = -5