3a-5+4a=2a+15

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Solution for 3a-5+4a=2a+15 equation:


Simplifying
3a + -5 + 4a = 2a + 15

Reorder the terms:
-5 + 3a + 4a = 2a + 15

Combine like terms: 3a + 4a = 7a
-5 + 7a = 2a + 15

Reorder the terms:
-5 + 7a = 15 + 2a

Solving
-5 + 7a = 15 + 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.
-5 + 7a + -2a = 15 + 2a + -2a

Combine like terms: 7a + -2a = 5a
-5 + 5a = 15 + 2a + -2a

Combine like terms: 2a + -2a = 0
-5 + 5a = 15 + 0
-5 + 5a = 15

Add '5' to each side of the equation.
-5 + 5 + 5a = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 5a = 15 + 5
5a = 15 + 5

Combine like terms: 15 + 5 = 20
5a = 20

Divide each side by '5'.
a = 4

Simplifying
a = 4

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