5a-(8-a)=4a-19

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Solution for 5a-(8-a)=4a-19 equation:


Simplifying
5a + -1(8 + -1a) = 4a + -19
5a + (8 * -1 + -1a * -1) = 4a + -19
5a + (-8 + 1a) = 4a + -19

Reorder the terms:
-8 + 5a + 1a = 4a + -19

Combine like terms: 5a + 1a = 6a
-8 + 6a = 4a + -19

Reorder the terms:
-8 + 6a = -19 + 4a

Solving
-8 + 6a = -19 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-8 + 6a + -4a = -19 + 4a + -4a

Combine like terms: 6a + -4a = 2a
-8 + 2a = -19 + 4a + -4a

Combine like terms: 4a + -4a = 0
-8 + 2a = -19 + 0
-8 + 2a = -19

Add '8' to each side of the equation.
-8 + 8 + 2a = -19 + 8

Combine like terms: -8 + 8 = 0
0 + 2a = -19 + 8
2a = -19 + 8

Combine like terms: -19 + 8 = -11
2a = -11

Divide each side by '2'.
a = -5.5

Simplifying
a = -5.5

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