5a+3=9a-10

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Solution for 5a+3=9a-10 equation:


Simplifying
5a + 3 = 9a + -10

Reorder the terms:
3 + 5a = 9a + -10

Reorder the terms:
3 + 5a = -10 + 9a

Solving
3 + 5a = -10 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
3 + 5a + -9a = -10 + 9a + -9a

Combine like terms: 5a + -9a = -4a
3 + -4a = -10 + 9a + -9a

Combine like terms: 9a + -9a = 0
3 + -4a = -10 + 0
3 + -4a = -10

Add '-3' to each side of the equation.
3 + -3 + -4a = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -4a = -10 + -3
-4a = -10 + -3

Combine like terms: -10 + -3 = -13
-4a = -13

Divide each side by '-4'.
a = 3.25

Simplifying
a = 3.25

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