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

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


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

Reorder the terms:
3(3 + a) = 5(a + -7)
(3 * 3 + a * 3) = 5(a + -7)
(9 + 3a) = 5(a + -7)

Reorder the terms:
9 + 3a = 5(-7 + a)
9 + 3a = (-7 * 5 + a * 5)
9 + 3a = (-35 + 5a)

Solving
9 + 3a = -35 + 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.
9 + 3a + -5a = -35 + 5a + -5a

Combine like terms: 3a + -5a = -2a
9 + -2a = -35 + 5a + -5a

Combine like terms: 5a + -5a = 0
9 + -2a = -35 + 0
9 + -2a = -35

Add '-9' to each side of the equation.
9 + -9 + -2a = -35 + -9

Combine like terms: 9 + -9 = 0
0 + -2a = -35 + -9
-2a = -35 + -9

Combine like terms: -35 + -9 = -44
-2a = -44

Divide each side by '-2'.
a = 22

Simplifying
a = 22

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