(3a-1)+(2a+1)+(5a-2)=28

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Solution for (3a-1)+(2a+1)+(5a-2)=28 equation:


Simplifying
(3a + -1) + (2a + 1) + (5a + -2) = 28

Reorder the terms:
(-1 + 3a) + (2a + 1) + (5a + -2) = 28

Remove parenthesis around (-1 + 3a)
-1 + 3a + (2a + 1) + (5a + -2) = 28

Reorder the terms:
-1 + 3a + (1 + 2a) + (5a + -2) = 28

Remove parenthesis around (1 + 2a)
-1 + 3a + 1 + 2a + (5a + -2) = 28

Reorder the terms:
-1 + 3a + 1 + 2a + (-2 + 5a) = 28

Remove parenthesis around (-2 + 5a)
-1 + 3a + 1 + 2a + -2 + 5a = 28

Reorder the terms:
-1 + 1 + -2 + 3a + 2a + 5a = 28

Combine like terms: -1 + 1 = 0
0 + -2 + 3a + 2a + 5a = 28
-2 + 3a + 2a + 5a = 28

Combine like terms: 3a + 2a = 5a
-2 + 5a + 5a = 28

Combine like terms: 5a + 5a = 10a
-2 + 10a = 28

Solving
-2 + 10a = 28

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + 2 + 10a = 28 + 2

Combine like terms: -2 + 2 = 0
0 + 10a = 28 + 2
10a = 28 + 2

Combine like terms: 28 + 2 = 30
10a = 30

Divide each side by '10'.
a = 3

Simplifying
a = 3

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