2a+(5a-13)=47

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Solution for 2a+(5a-13)=47 equation:


Simplifying
2a + (5a + -13) = 47

Reorder the terms:
2a + (-13 + 5a) = 47

Remove parenthesis around (-13 + 5a)
2a + -13 + 5a = 47

Reorder the terms:
-13 + 2a + 5a = 47

Combine like terms: 2a + 5a = 7a
-13 + 7a = 47

Solving
-13 + 7a = 47

Solving for variable 'a'.

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

Add '13' to each side of the equation.
-13 + 13 + 7a = 47 + 13

Combine like terms: -13 + 13 = 0
0 + 7a = 47 + 13
7a = 47 + 13

Combine like terms: 47 + 13 = 60
7a = 60

Divide each side by '7'.
a = 8.571428571

Simplifying
a = 8.571428571

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