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

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

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

Reorder the terms:
(3 + 2a) * 2 + -1(a + -1) * 2 = 0

Reorder the terms for easier multiplication:
2(3 + 2a) + -1(a + -1) * 2 = 0
(3 * 2 + 2a * 2) + -1(a + -1) * 2 = 0
(6 + 4a) + -1(a + -1) * 2 = 0

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

Reorder the terms for easier multiplication:
6 + 4a + -1 * 2(-1 + a) = 0

Multiply -1 * 2
6 + 4a + -2(-1 + a) = 0
6 + 4a + (-1 * -2 + a * -2) = 0
6 + 4a + (2 + -2a) = 0

Reorder the terms:
6 + 2 + 4a + -2a = 0

Combine like terms: 6 + 2 = 8
8 + 4a + -2a = 0

Combine like terms: 4a + -2a = 2a
8 + 2a = 0

Solving
8 + 2a = 0

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + -8 + 2a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2a = 0 + -8
2a = 0 + -8

Combine like terms: 0 + -8 = -8
2a = -8

Divide each side by '2'.
a = -4

Simplifying
a = -4