2(1-3a)-5=3(-4-5a)

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Solution for 2(1-3a)-5=3(-4-5a) equation: 


Simplifying
2(1 + -3a) + -5 = 3(-4 + -5a)
(1 * 2 + -3a * 2) + -5 = 3(-4 + -5a)
(2 + -6a) + -5 = 3(-4 + -5a)

Reorder the terms:
2 + -5 + -6a = 3(-4 + -5a)

Combine like terms: 2 + -5 = -3
-3 + -6a = 3(-4 + -5a)
-3 + -6a = (-4 * 3 + -5a * 3)
-3 + -6a = (-12 + -15a)

Solving
-3 + -6a = -12 + -15a

Solving for variable 'a'.

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

Add '15a' to each side of the equation.
-3 + -6a + 15a = -12 + -15a + 15a

Combine like terms: -6a + 15a = 9a
-3 + 9a = -12 + -15a + 15a

Combine like terms: -15a + 15a = 0
-3 + 9a = -12 + 0
-3 + 9a = -12

Add '3' to each side of the equation.
-3 + 3 + 9a = -12 + 3

Combine like terms: -3 + 3 = 0
0 + 9a = -12 + 3
9a = -12 + 3

Combine like terms: -12 + 3 = -9
9a = -9

Divide each side by '9'.
a = -1

Simplifying
a = -1

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