(2a+3)+(4a-8)=7

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Solution for (2a+3)+(4a-8)=7 equation:


Simplifying
(2a + 3) + (4a + -8) = 7

Reorder the terms:
(3 + 2a) + (4a + -8) = 7

Remove parenthesis around (3 + 2a)
3 + 2a + (4a + -8) = 7

Reorder the terms:
3 + 2a + (-8 + 4a) = 7

Remove parenthesis around (-8 + 4a)
3 + 2a + -8 + 4a = 7

Reorder the terms:
3 + -8 + 2a + 4a = 7

Combine like terms: 3 + -8 = -5
-5 + 2a + 4a = 7

Combine like terms: 2a + 4a = 6a
-5 + 6a = 7

Solving
-5 + 6a = 7

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 5 + 6a = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 6a = 7 + 5
6a = 7 + 5

Combine like terms: 7 + 5 = 12
6a = 12

Divide each side by '6'.
a = 2

Simplifying
a = 2

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