3(a+5)=a-10

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Solution for 3(a+5)=a-10 equation: 


Simplifying
3(a + 5) = a + -10

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

Reorder the terms:
15 + 3a = -10 + a

Solving
15 + 3a = -10 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
15 + 3a + -1a = -10 + a + -1a

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

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

Add '-15' to each side of the equation.
15 + -15 + 2a = -10 + -15

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

Combine like terms: -10 + -15 = -25
2a = -25

Divide each side by '2'.
a = -12.5

Simplifying
a = -12.5

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