5(3a+1)-2(a-1)=7

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Solution for 5(3a+1)-2(a-1)=7 equation: 


Simplifying
5(3a + 1) + -2(a + -1) = 7

Reorder the terms:
5(1 + 3a) + -2(a + -1) = 7
(1 * 5 + 3a * 5) + -2(a + -1) = 7
(5 + 15a) + -2(a + -1) = 7

Reorder the terms:
5 + 15a + -2(-1 + a) = 7
5 + 15a + (-1 * -2 + a * -2) = 7
5 + 15a + (2 + -2a) = 7

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

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

Combine like terms: 15a + -2a = 13a
7 + 13a = 7

Add '-7' to each side of the equation.
7 + -7 + 13a = 7 + -7

Combine like terms: 7 + -7 = 0
0 + 13a = 7 + -7
13a = 7 + -7

Combine like terms: 7 + -7 = 0
13a = 0

Solving
13a = 0

Solving for variable 'a'.

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

Divide each side by '13'.
a = 0

Simplifying
a = 0

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