5a+11=8a-19

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Solution for 5a+11=8a-19 equation:


Simplifying
5a + 11 = 8a + -19

Reorder the terms:
11 + 5a = 8a + -19

Reorder the terms:
11 + 5a = -19 + 8a

Solving
11 + 5a = -19 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
11 + 5a + -8a = -19 + 8a + -8a

Combine like terms: 5a + -8a = -3a
11 + -3a = -19 + 8a + -8a

Combine like terms: 8a + -8a = 0
11 + -3a = -19 + 0
11 + -3a = -19

Add '-11' to each side of the equation.
11 + -11 + -3a = -19 + -11

Combine like terms: 11 + -11 = 0
0 + -3a = -19 + -11
-3a = -19 + -11

Combine like terms: -19 + -11 = -30
-3a = -30

Divide each side by '-3'.
a = 10

Simplifying
a = 10

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