10a-3=8a+10

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Solution for 10a-3=8a+10 equation:


Simplifying
10a + -3 = 8a + 10

Reorder the terms:
-3 + 10a = 8a + 10

Reorder the terms:
-3 + 10a = 10 + 8a

Solving
-3 + 10a = 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.
-3 + 10a + -8a = 10 + 8a + -8a

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

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

Add '3' to each side of the equation.
-3 + 3 + 2a = 10 + 3

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

Combine like terms: 10 + 3 = 13
2a = 13

Divide each side by '2'.
a = 6.5

Simplifying
a = 6.5

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