(3a+7)-(a-1)=14

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Solution for (3a+7)-(a-1)=14 equation:


Simplifying
(3a + 7) + -1(a + -1) = 14

Reorder the terms:
(7 + 3a) + -1(a + -1) = 14

Remove parenthesis around (7 + 3a)
7 + 3a + -1(a + -1) = 14

Reorder the terms:
7 + 3a + -1(-1 + a) = 14
7 + 3a + (-1 * -1 + a * -1) = 14
7 + 3a + (1 + -1a) = 14

Reorder the terms:
7 + 1 + 3a + -1a = 14

Combine like terms: 7 + 1 = 8
8 + 3a + -1a = 14

Combine like terms: 3a + -1a = 2a
8 + 2a = 14

Solving
8 + 2a = 14

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + -8 + 2a = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 2a = 14 + -8
2a = 14 + -8

Combine like terms: 14 + -8 = 6
2a = 6

Divide each side by '2'.
a = 3

Simplifying
a = 3

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