5a+2-3(a+5)=-3

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Solution for 5a+2-3(a+5)=-3 equation:


Simplifying
5a + 2 + -3(a + 5) = -3

Reorder the terms:
5a + 2 + -3(5 + a) = -3
5a + 2 + (5 * -3 + a * -3) = -3
5a + 2 + (-15 + -3a) = -3

Reorder the terms:
2 + -15 + 5a + -3a = -3

Combine like terms: 2 + -15 = -13
-13 + 5a + -3a = -3

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

Solving
-13 + 2a = -3

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 + 2a = -3 + 13

Combine like terms: -13 + 13 = 0
0 + 2a = -3 + 13
2a = -3 + 13

Combine like terms: -3 + 13 = 10
2a = 10

Divide each side by '2'.
a = 5

Simplifying
a = 5

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