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

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


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

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

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

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

Combine like terms: 5 + 3 = 8
8 + -1a + -6a = 3(a + 1) + -5

Combine like terms: -1a + -6a = -7a
8 + -7a = 3(a + 1) + -5

Reorder the terms:
8 + -7a = 3(1 + a) + -5
8 + -7a = (1 * 3 + a * 3) + -5
8 + -7a = (3 + 3a) + -5

Reorder the terms:
8 + -7a = 3 + -5 + 3a

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

Solving
8 + -7a = -2 + 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.
8 + -7a + -3a = -2 + 3a + -3a

Combine like terms: -7a + -3a = -10a
8 + -10a = -2 + 3a + -3a

Combine like terms: 3a + -3a = 0
8 + -10a = -2 + 0
8 + -10a = -2

Add '-8' to each side of the equation.
8 + -8 + -10a = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -10a = -2 + -8
-10a = -2 + -8

Combine like terms: -2 + -8 = -10
-10a = -10

Divide each side by '-10'.
a = 1

Simplifying
a = 1

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