5a-8=8a+10

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Solution for 5a-8=8a+10 equation:


Simplifying
5a + -8 = 8a + 10

Reorder the terms:
-8 + 5a = 8a + 10

Reorder the terms:
-8 + 5a = 10 + 8a

Solving
-8 + 5a = 10 + 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.
-8 + 5a + -8a = 10 + 8a + -8a

Combine like terms: 5a + -8a = -3a
-8 + -3a = 10 + 8a + -8a

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

Add '8' to each side of the equation.
-8 + 8 + -3a = 10 + 8

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

Combine like terms: 10 + 8 = 18
-3a = 18

Divide each side by '-3'.
a = -6

Simplifying
a = -6

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