4(a-2)+3(2a+1)=5

Solution for 4(a-2)+3(2a+1)=5 equation:

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

Reorder the terms:
4(-2 + a) + 3(2a + 1) = 5
(-2 * 4 + a * 4) + 3(2a + 1) = 5
(-8 + 4a) + 3(2a + 1) = 5

Reorder the terms:
-8 + 4a + 3(1 + 2a) = 5
-8 + 4a + (1 * 3 + 2a * 3) = 5
-8 + 4a + (3 + 6a) = 5

Reorder the terms:
-8 + 3 + 4a + 6a = 5

Combine like terms: -8 + 3 = -5
-5 + 4a + 6a = 5

Combine like terms: 4a + 6a = 10a
-5 + 10a = 5

Solving
-5 + 10a = 5

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 + 10a = 5 + 5

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

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

Divide each side by '10'.
a = 1

Simplifying
a = 1