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

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

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

Reorder the terms:
5(1 + 2a) + -2(2 + -3a) = 0
(1 * 5 + 2a * 5) + -2(2 + -3a) = 0
(5 + 10a) + -2(2 + -3a) = 0
5 + 10a + (2 * -2 + -3a * -2) = 0
5 + 10a + (-4 + 6a) = 0

Reorder the terms:
5 + -4 + 10a + 6a = 0

Combine like terms: 5 + -4 = 1
1 + 10a + 6a = 0

Combine like terms: 10a + 6a = 16a
1 + 16a = 0

Solving
1 + 16a = 0

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + -1 + 16a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 16a = 0 + -1
16a = 0 + -1

Combine like terms: 0 + -1 = -1
16a = -1

Divide each side by '16'.
a = -0.0625

Simplifying
a = -0.0625