3(5a+7)=5(2a-8)+6

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Solution for 3(5a+7)=5(2a-8)+6 equation:


Simplifying
3(5a + 7) = 5(2a + -8) + 6

Reorder the terms:
3(7 + 5a) = 5(2a + -8) + 6
(7 * 3 + 5a * 3) = 5(2a + -8) + 6
(21 + 15a) = 5(2a + -8) + 6

Reorder the terms:
21 + 15a = 5(-8 + 2a) + 6
21 + 15a = (-8 * 5 + 2a * 5) + 6
21 + 15a = (-40 + 10a) + 6

Reorder the terms:
21 + 15a = -40 + 6 + 10a

Combine like terms: -40 + 6 = -34
21 + 15a = -34 + 10a

Solving
21 + 15a = -34 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
21 + 15a + -10a = -34 + 10a + -10a

Combine like terms: 15a + -10a = 5a
21 + 5a = -34 + 10a + -10a

Combine like terms: 10a + -10a = 0
21 + 5a = -34 + 0
21 + 5a = -34

Add '-21' to each side of the equation.
21 + -21 + 5a = -34 + -21

Combine like terms: 21 + -21 = 0
0 + 5a = -34 + -21
5a = -34 + -21

Combine like terms: -34 + -21 = -55
5a = -55

Divide each side by '5'.
a = -11

Simplifying
a = -11

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