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

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

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

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

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

Solving
-3 + -2a = -6 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
-3 + -2a + 8a = -6 + -8a + 8a

Combine like terms: -2a + 8a = 6a
-3 + 6a = -6 + -8a + 8a

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

Add '3' to each side of the equation.
-3 + 3 + 6a = -6 + 3

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

Combine like terms: -6 + 3 = -3
6a = -3

Divide each side by '6'.
a = -0.5

Simplifying
a = -0.5