-(1-3a)-5=7a-(5+5a)-3

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Solution for -(1-3a)-5=7a-(5+5a)-3 equation:


Simplifying
-1(1 + -3a) + -5 = 7a + -1(5 + 5a) + -3
(1 * -1 + -3a * -1) + -5 = 7a + -1(5 + 5a) + -3
(-1 + 3a) + -5 = 7a + -1(5 + 5a) + -3

Reorder the terms:
-1 + -5 + 3a = 7a + -1(5 + 5a) + -3

Combine like terms: -1 + -5 = -6
-6 + 3a = 7a + -1(5 + 5a) + -3
-6 + 3a = 7a + (5 * -1 + 5a * -1) + -3
-6 + 3a = 7a + (-5 + -5a) + -3

Reorder the terms:
-6 + 3a = -5 + -3 + 7a + -5a

Combine like terms: -5 + -3 = -8
-6 + 3a = -8 + 7a + -5a

Combine like terms: 7a + -5a = 2a
-6 + 3a = -8 + 2a

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

Solving for variable 'a'.

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

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

Combine like terms: 3a + -2a = 1a
-6 + 1a = -8 + 2a + -2a

Combine like terms: 2a + -2a = 0
-6 + 1a = -8 + 0
-6 + 1a = -8

Add '6' to each side of the equation.
-6 + 6 + 1a = -8 + 6

Combine like terms: -6 + 6 = 0
0 + 1a = -8 + 6
1a = -8 + 6

Combine like terms: -8 + 6 = -2
1a = -2

Divide each side by '1'.
a = -2

Simplifying
a = -2

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