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

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


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

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

Reorder the terms:
15 + 3a = 2(-5 + a)
15 + 3a = (-5 * 2 + a * 2)
15 + 3a = (-10 + 2a)

Solving
15 + 3a = -10 + 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 + 3a + -2a = -10 + 2a + -2a

Combine like terms: 3a + -2a = 1a
15 + 1a = -10 + 2a + -2a

Combine like terms: 2a + -2a = 0
15 + 1a = -10 + 0
15 + 1a = -10

Add '-15' to each side of the equation.
15 + -15 + 1a = -10 + -15

Combine like terms: 15 + -15 = 0
0 + 1a = -10 + -15
1a = -10 + -15

Combine like terms: -10 + -15 = -25
1a = -25

Divide each side by '1'.
a = -25

Simplifying
a = -25

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