-(-2a-3)-5=-3(a-6)

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Solution for -(-2a-3)-5=-3(a-6) equation:


Simplifying
-1(-2a + -3) + -5 = -3(a + -6)

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

Reorder the terms:
3 + -5 + 2a = -3(a + -6)

Combine like terms: 3 + -5 = -2
-2 + 2a = -3(a + -6)

Reorder the terms:
-2 + 2a = -3(-6 + a)
-2 + 2a = (-6 * -3 + a * -3)
-2 + 2a = (18 + -3a)

Solving
-2 + 2a = 18 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
-2 + 2a + 3a = 18 + -3a + 3a

Combine like terms: 2a + 3a = 5a
-2 + 5a = 18 + -3a + 3a

Combine like terms: -3a + 3a = 0
-2 + 5a = 18 + 0
-2 + 5a = 18

Add '2' to each side of the equation.
-2 + 2 + 5a = 18 + 2

Combine like terms: -2 + 2 = 0
0 + 5a = 18 + 2
5a = 18 + 2

Combine like terms: 18 + 2 = 20
5a = 20

Divide each side by '5'.
a = 4

Simplifying
a = 4

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