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

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

Simplifying
3(a + 2) + 4(2a + -3) = 0

Reorder the terms:
3(2 + a) + 4(2a + -3) = 0
(2 * 3 + a * 3) + 4(2a + -3) = 0
(6 + 3a) + 4(2a + -3) = 0

Reorder the terms:
6 + 3a + 4(-3 + 2a) = 0
6 + 3a + (-3 * 4 + 2a * 4) = 0
6 + 3a + (-12 + 8a) = 0

Reorder the terms:
6 + -12 + 3a + 8a = 0

Combine like terms: 6 + -12 = -6
-6 + 3a + 8a = 0

Combine like terms: 3a + 8a = 11a
-6 + 11a = 0

Solving
-6 + 11a = 0

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 11a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 11a = 0 + 6
11a = 0 + 6

Combine like terms: 0 + 6 = 6
11a = 6

Divide each side by '11'.
a = 0.5454545455

Simplifying
a = 0.5454545455