(6a-5)+(2a)+(3a)+(4a-10)=360

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Solution for (6a-5)+(2a)+(3a)+(4a-10)=360 equation:


Simplifying
(6a + -5) + (2a) + (3a) + (4a + -10) = 360

Reorder the terms:
(-5 + 6a) + (2a) + (3a) + (4a + -10) = 360

Remove parenthesis around (-5 + 6a)
-5 + 6a + (2a) + (3a) + (4a + -10) = 360

Reorder the terms:
-5 + 6a + (2a) + (3a) + (-10 + 4a) = 360

Remove parenthesis around (-10 + 4a)
-5 + 6a + (2a) + (3a) + -10 + 4a = 360

Reorder the terms:
-5 + -10 + 6a + (2a) + (3a) + 4a = 360

Combine like terms: -5 + -10 = -15
-15 + 6a + (2a) + (3a) + 4a = 360

Combine like terms: 6a + (2a) = 8a
-15 + 8a + (3a) + 4a = 360

Combine like terms: 8a + (3a) = 11a
-15 + 11a + 4a = 360

Combine like terms: 11a + 4a = 15a
-15 + 15a = 360

Solving
-15 + 15a = 360

Solving for variable 'a'.

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

Add '15' to each side of the equation.
-15 + 15 + 15a = 360 + 15

Combine like terms: -15 + 15 = 0
0 + 15a = 360 + 15
15a = 360 + 15

Combine like terms: 360 + 15 = 375
15a = 375

Divide each side by '15'.
a = 25

Simplifying
a = 25

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