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

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


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

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

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

Combine like terms: -5a + -5a = -10a
15 + -10a = 2 + 3a

Solving
15 + -10a = 2 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
15 + -10a + -3a = 2 + 3a + -3a

Combine like terms: -10a + -3a = -13a
15 + -13a = 2 + 3a + -3a

Combine like terms: 3a + -3a = 0
15 + -13a = 2 + 0
15 + -13a = 2

Add '-15' to each side of the equation.
15 + -15 + -13a = 2 + -15

Combine like terms: 15 + -15 = 0
0 + -13a = 2 + -15
-13a = 2 + -15

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

Divide each side by '-13'.
a = 1

Simplifying
a = 1

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