5(2a-4)=3(2a+1)

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Solution for 5(2a-4)=3(2a+1) equation:


Simplifying
5(2a + -4) = 3(2a + 1)

Reorder the terms:
5(-4 + 2a) = 3(2a + 1)
(-4 * 5 + 2a * 5) = 3(2a + 1)
(-20 + 10a) = 3(2a + 1)

Reorder the terms:
-20 + 10a = 3(1 + 2a)
-20 + 10a = (1 * 3 + 2a * 3)
-20 + 10a = (3 + 6a)

Solving
-20 + 10a = 3 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-20 + 10a + -6a = 3 + 6a + -6a

Combine like terms: 10a + -6a = 4a
-20 + 4a = 3 + 6a + -6a

Combine like terms: 6a + -6a = 0
-20 + 4a = 3 + 0
-20 + 4a = 3

Add '20' to each side of the equation.
-20 + 20 + 4a = 3 + 20

Combine like terms: -20 + 20 = 0
0 + 4a = 3 + 20
4a = 3 + 20

Combine like terms: 3 + 20 = 23
4a = 23

Divide each side by '4'.
a = 5.75

Simplifying
a = 5.75

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