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

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


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

Reorder the terms:
3(-7 + 3a) = -5(a + 7)
(-7 * 3 + 3a * 3) = -5(a + 7)
(-21 + 9a) = -5(a + 7)

Reorder the terms:
-21 + 9a = -5(7 + a)
-21 + 9a = (7 * -5 + a * -5)
-21 + 9a = (-35 + -5a)

Solving
-21 + 9a = -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.
-21 + 9a + 5a = -35 + -5a + 5a

Combine like terms: 9a + 5a = 14a
-21 + 14a = -35 + -5a + 5a

Combine like terms: -5a + 5a = 0
-21 + 14a = -35 + 0
-21 + 14a = -35

Add '21' to each side of the equation.
-21 + 21 + 14a = -35 + 21

Combine like terms: -21 + 21 = 0
0 + 14a = -35 + 21
14a = -35 + 21

Combine like terms: -35 + 21 = -14
14a = -14

Divide each side by '14'.
a = -1

Simplifying
a = -1

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