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

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

Simplifying
(5a + -3) + -1(a + 2) = 0

Reorder the terms:
(-3 + 5a) + -1(a + 2) = 0

Remove parenthesis around (-3 + 5a)
-3 + 5a + -1(a + 2) = 0

Reorder the terms:
-3 + 5a + -1(2 + a) = 0
-3 + 5a + (2 * -1 + a * -1) = 0
-3 + 5a + (-2 + -1a) = 0

Reorder the terms:
-3 + -2 + 5a + -1a = 0

Combine like terms: -3 + -2 = -5
-5 + 5a + -1a = 0

Combine like terms: 5a + -1a = 4a
-5 + 4a = 0

Solving
-5 + 4a = 0

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 5 + 4a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4a = 0 + 5
4a = 0 + 5

Combine like terms: 0 + 5 = 5
4a = 5

Divide each side by '4'.
a = 1.25

Simplifying
a = 1.25