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

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


Simplifying
3(2a + 5) + 5(a + -2) = 0

Reorder the terms:
3(5 + 2a) + 5(a + -2) = 0
(5 * 3 + 2a * 3) + 5(a + -2) = 0
(15 + 6a) + 5(a + -2) = 0

Reorder the terms:
15 + 6a + 5(-2 + a) = 0
15 + 6a + (-2 * 5 + a * 5) = 0
15 + 6a + (-10 + 5a) = 0

Reorder the terms:
15 + -10 + 6a + 5a = 0

Combine like terms: 15 + -10 = 5
5 + 6a + 5a = 0

Combine like terms: 6a + 5a = 11a
5 + 11a = 0

Solving
5 + 11a = 0

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -5 + 11a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 11a = 0 + -5
11a = 0 + -5

Combine like terms: 0 + -5 = -5
11a = -5

Divide each side by '11'.
a = -0.4545454545

Simplifying
a = -0.4545454545

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