7a-8-5a=11-2a+9

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Solution for 7a-8-5a=11-2a+9 equation:


Simplifying
7a + -8 + -5a = 11 + -2a + 9

Reorder the terms:
-8 + 7a + -5a = 11 + -2a + 9

Combine like terms: 7a + -5a = 2a
-8 + 2a = 11 + -2a + 9

Reorder the terms:
-8 + 2a = 11 + 9 + -2a

Combine like terms: 11 + 9 = 20
-8 + 2a = 20 + -2a

Solving
-8 + 2a = 20 + -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.
-8 + 2a + 2a = 20 + -2a + 2a

Combine like terms: 2a + 2a = 4a
-8 + 4a = 20 + -2a + 2a

Combine like terms: -2a + 2a = 0
-8 + 4a = 20 + 0
-8 + 4a = 20

Add '8' to each side of the equation.
-8 + 8 + 4a = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 4a = 20 + 8
4a = 20 + 8

Combine like terms: 20 + 8 = 28
4a = 28

Divide each side by '4'.
a = 7

Simplifying
a = 7

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