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

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


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

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

Reorder the terms:
15 + 5a = 2(-2 + a)
15 + 5a = (-2 * 2 + a * 2)
15 + 5a = (-4 + 2a)

Solving
15 + 5a = -4 + 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.
15 + 5a + -2a = -4 + 2a + -2a

Combine like terms: 5a + -2a = 3a
15 + 3a = -4 + 2a + -2a

Combine like terms: 2a + -2a = 0
15 + 3a = -4 + 0
15 + 3a = -4

Add '-15' to each side of the equation.
15 + -15 + 3a = -4 + -15

Combine like terms: 15 + -15 = 0
0 + 3a = -4 + -15
3a = -4 + -15

Combine like terms: -4 + -15 = -19
3a = -19

Divide each side by '3'.
a = -6.333333333

Simplifying
a = -6.333333333

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