5(a+3)-6=2a-6

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Solution for 5(a+3)-6=2a-6 equation:


Simplifying
5(a + 3) + -6 = 2a + -6

Reorder the terms:
5(3 + a) + -6 = 2a + -6
(3 * 5 + a * 5) + -6 = 2a + -6
(15 + 5a) + -6 = 2a + -6

Reorder the terms:
15 + -6 + 5a = 2a + -6

Combine like terms: 15 + -6 = 9
9 + 5a = 2a + -6

Reorder the terms:
9 + 5a = -6 + 2a

Solving
9 + 5a = -6 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
9 + 5a + -2a = -6 + 2a + -2a

Combine like terms: 5a + -2a = 3a
9 + 3a = -6 + 2a + -2a

Combine like terms: 2a + -2a = 0
9 + 3a = -6 + 0
9 + 3a = -6

Add '-9' to each side of the equation.
9 + -9 + 3a = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 3a = -6 + -9
3a = -6 + -9

Combine like terms: -6 + -9 = -15
3a = -15

Divide each side by '3'.
a = -5

Simplifying
a = -5

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