5a-3(a-9)=13

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Solution for 5a-3(a-9)=13 equation:


Simplifying
5a + -3(a + -9) = 13

Reorder the terms:
5a + -3(-9 + a) = 13
5a + (-9 * -3 + a * -3) = 13
5a + (27 + -3a) = 13

Reorder the terms:
27 + 5a + -3a = 13

Combine like terms: 5a + -3a = 2a
27 + 2a = 13

Solving
27 + 2a = 13

Solving for variable 'a'.

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

Add '-27' to each side of the equation.
27 + -27 + 2a = 13 + -27

Combine like terms: 27 + -27 = 0
0 + 2a = 13 + -27
2a = 13 + -27

Combine like terms: 13 + -27 = -14
2a = -14

Divide each side by '2'.
a = -7

Simplifying
a = -7

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