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

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


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

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

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

Combine like terms: 2a + -3a = -1a
15 + -1a = -3

Solving
15 + -1a = -3

Solving for variable 'a'.

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

Add '-15' to each side of the equation.
15 + -15 + -1a = -3 + -15

Combine like terms: 15 + -15 = 0
0 + -1a = -3 + -15
-1a = -3 + -15

Combine like terms: -3 + -15 = -18
-1a = -18

Divide each side by '-1'.
a = 18

Simplifying
a = 18

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