a-1(3a-15)=7-5a

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Solution for a-1(3a-15)=7-5a equation: 


Simplifying
a + -1(3a + -15) = 7 + -5a

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

Reorder the terms:
15 + a + -3a = 7 + -5a

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

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

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
15 + -2a + 5a = 7 + -5a + 5a

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

Combine like terms: -5a + 5a = 0
15 + 3a = 7 + 0
15 + 3a = 7

Add '-15' to each side of the equation.
15 + -15 + 3a = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 3a = 7 + -15
3a = 7 + -15

Combine like terms: 7 + -15 = -8
3a = -8

Divide each side by '3'.
a = -2.666666667

Simplifying
a = -2.666666667

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