3(a-5)-10=2(2a+1)+8a

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Solution for 3(a-5)-10=2(2a+1)+8a equation: 


Simplifying
3(a + -5) + -10 = 2(2a + 1) + 8a

Reorder the terms:
3(-5 + a) + -10 = 2(2a + 1) + 8a
(-5 * 3 + a * 3) + -10 = 2(2a + 1) + 8a
(-15 + 3a) + -10 = 2(2a + 1) + 8a

Reorder the terms:
-15 + -10 + 3a = 2(2a + 1) + 8a

Combine like terms: -15 + -10 = -25
-25 + 3a = 2(2a + 1) + 8a

Reorder the terms:
-25 + 3a = 2(1 + 2a) + 8a
-25 + 3a = (1 * 2 + 2a * 2) + 8a
-25 + 3a = (2 + 4a) + 8a

Combine like terms: 4a + 8a = 12a
-25 + 3a = 2 + 12a

Solving
-25 + 3a = 2 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
-25 + 3a + -12a = 2 + 12a + -12a

Combine like terms: 3a + -12a = -9a
-25 + -9a = 2 + 12a + -12a

Combine like terms: 12a + -12a = 0
-25 + -9a = 2 + 0
-25 + -9a = 2

Add '25' to each side of the equation.
-25 + 25 + -9a = 2 + 25

Combine like terms: -25 + 25 = 0
0 + -9a = 2 + 25
-9a = 2 + 25

Combine like terms: 2 + 25 = 27
-9a = 27

Divide each side by '-9'.
a = -3

Simplifying
a = -3

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