5(a-3)-4(a+5)=-33

Solution for 5(a-3)-4(a+5)=-33 equation:

Simplifying
5(a + -3) + -4(a + 5) = -33

Reorder the terms:
5(-3 + a) + -4(a + 5) = -33
(-3 * 5 + a * 5) + -4(a + 5) = -33
(-15 + 5a) + -4(a + 5) = -33

Reorder the terms:
-15 + 5a + -4(5 + a) = -33
-15 + 5a + (5 * -4 + a * -4) = -33
-15 + 5a + (-20 + -4a) = -33

Reorder the terms:
-15 + -20 + 5a + -4a = -33

Combine like terms: -15 + -20 = -35
-35 + 5a + -4a = -33

Combine like terms: 5a + -4a = 1a
-35 + 1a = -33

Solving
-35 + 1a = -33

Solving for variable 'a'.

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

Add '35' to each side of the equation.
-35 + 35 + 1a = -33 + 35

Combine like terms: -35 + 35 = 0
0 + 1a = -33 + 35
1a = -33 + 35

Combine like terms: -33 + 35 = 2
1a = 2

Divide each side by '1'.
a = 2

Simplifying
a = 2