5(3a+8)+2a=6(2a+10)

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Solution for 5(3a+8)+2a=6(2a+10) equation:


Simplifying
5(3a + 8) + 2a = 6(2a + 10)

Reorder the terms:
5(8 + 3a) + 2a = 6(2a + 10)
(8 * 5 + 3a * 5) + 2a = 6(2a + 10)
(40 + 15a) + 2a = 6(2a + 10)

Combine like terms: 15a + 2a = 17a
40 + 17a = 6(2a + 10)

Reorder the terms:
40 + 17a = 6(10 + 2a)
40 + 17a = (10 * 6 + 2a * 6)
40 + 17a = (60 + 12a)

Solving
40 + 17a = 60 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
40 + 17a + -12a = 60 + 12a + -12a

Combine like terms: 17a + -12a = 5a
40 + 5a = 60 + 12a + -12a

Combine like terms: 12a + -12a = 0
40 + 5a = 60 + 0
40 + 5a = 60

Add '-40' to each side of the equation.
40 + -40 + 5a = 60 + -40

Combine like terms: 40 + -40 = 0
0 + 5a = 60 + -40
5a = 60 + -40

Combine like terms: 60 + -40 = 20
5a = 20

Divide each side by '5'.
a = 4

Simplifying
a = 4

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