2(4a-.3)-(2a+5)=10

Solution for 2(4a-.3)-(2a+5)=10 equation:

Simplifying
2(4a + -0.3) + -1(2a + 5) = 10

Reorder the terms:
2(-0.3 + 4a) + -1(2a + 5) = 10
(-0.3 * 2 + 4a * 2) + -1(2a + 5) = 10
(-0.6 + 8a) + -1(2a + 5) = 10

Reorder the terms:
-0.6 + 8a + -1(5 + 2a) = 10
-0.6 + 8a + (5 * -1 + 2a * -1) = 10
-0.6 + 8a + (-5 + -2a) = 10

Reorder the terms:
-0.6 + -5 + 8a + -2a = 10

Combine like terms: -0.6 + -5 = -5.6
-5.6 + 8a + -2a = 10

Combine like terms: 8a + -2a = 6a
-5.6 + 6a = 10

Solving
-5.6 + 6a = 10

Solving for variable 'a'.

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

Add '5.6' to each side of the equation.
-5.6 + 5.6 + 6a = 10 + 5.6

Combine like terms: -5.6 + 5.6 = 0.0
0.0 + 6a = 10 + 5.6
6a = 10 + 5.6

Combine like terms: 10 + 5.6 = 15.6
6a = 15.6

Divide each side by '6'.
a = 2.6

Simplifying
a = 2.6