4a-(a+5)=10

Solution for 4a-(a+5)=10 equation:

Simplifying
4a + -1(a + 5) = 10

Reorder the terms:
4a + -1(5 + a) = 10
4a + (5 * -1 + a * -1) = 10
4a + (-5 + -1a) = 10

Reorder the terms:
-5 + 4a + -1a = 10

Combine like terms: 4a + -1a = 3a
-5 + 3a = 10

Solving
-5 + 3a = 10

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 + 3a = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 3a = 10 + 5
3a = 10 + 5

Combine like terms: 10 + 5 = 15
3a = 15

Divide each side by '3'.
a = 5

Simplifying
a = 5