5a-3=8a+7

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Solution for 5a-3=8a+7 equation:


Simplifying
5a + -3 = 8a + 7

Reorder the terms:
-3 + 5a = 8a + 7

Reorder the terms:
-3 + 5a = 7 + 8a

Solving
-3 + 5a = 7 + 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 + 5a + -8a = 7 + 8a + -8a

Combine like terms: 5a + -8a = -3a
-3 + -3a = 7 + 8a + -8a

Combine like terms: 8a + -8a = 0
-3 + -3a = 7 + 0
-3 + -3a = 7

Add '3' to each side of the equation.
-3 + 3 + -3a = 7 + 3

Combine like terms: -3 + 3 = 0
0 + -3a = 7 + 3
-3a = 7 + 3

Combine like terms: 7 + 3 = 10
-3a = 10

Divide each side by '-3'.
a = -3.333333333

Simplifying
a = -3.333333333

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