5(3a+4)=4(3a+20)

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Solution for 5(3a+4)=4(3a+20) equation:


Simplifying
5(3a + 4) = 4(3a + 20)

Reorder the terms:
5(4 + 3a) = 4(3a + 20)
(4 * 5 + 3a * 5) = 4(3a + 20)
(20 + 15a) = 4(3a + 20)

Reorder the terms:
20 + 15a = 4(20 + 3a)
20 + 15a = (20 * 4 + 3a * 4)
20 + 15a = (80 + 12a)

Solving
20 + 15a = 80 + 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.
20 + 15a + -12a = 80 + 12a + -12a

Combine like terms: 15a + -12a = 3a
20 + 3a = 80 + 12a + -12a

Combine like terms: 12a + -12a = 0
20 + 3a = 80 + 0
20 + 3a = 80

Add '-20' to each side of the equation.
20 + -20 + 3a = 80 + -20

Combine like terms: 20 + -20 = 0
0 + 3a = 80 + -20
3a = 80 + -20

Combine like terms: 80 + -20 = 60
3a = 60

Divide each side by '3'.
a = 20

Simplifying
a = 20

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