8a-3=5(a+7)+3

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


Simplifying
8a + -3 = 5(a + 7) + 3

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

Reorder the terms:
-3 + 8a = 5(7 + a) + 3
-3 + 8a = (7 * 5 + a * 5) + 3
-3 + 8a = (35 + 5a) + 3

Reorder the terms:
-3 + 8a = 35 + 3 + 5a

Combine like terms: 35 + 3 = 38
-3 + 8a = 38 + 5a

Solving
-3 + 8a = 38 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-3 + 8a + -5a = 38 + 5a + -5a

Combine like terms: 8a + -5a = 3a
-3 + 3a = 38 + 5a + -5a

Combine like terms: 5a + -5a = 0
-3 + 3a = 38 + 0
-3 + 3a = 38

Add '3' to each side of the equation.
-3 + 3 + 3a = 38 + 3

Combine like terms: -3 + 3 = 0
0 + 3a = 38 + 3
3a = 38 + 3

Combine like terms: 38 + 3 = 41
3a = 41

Divide each side by '3'.
a = 13.66666667

Simplifying
a = 13.66666667

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