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

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


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

Reorder the terms:
3(-3 + 2a) = 5(a + 4)
(-3 * 3 + 2a * 3) = 5(a + 4)
(-9 + 6a) = 5(a + 4)

Reorder the terms:
-9 + 6a = 5(4 + a)
-9 + 6a = (4 * 5 + a * 5)
-9 + 6a = (20 + 5a)

Solving
-9 + 6a = 20 + 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.
-9 + 6a + -5a = 20 + 5a + -5a

Combine like terms: 6a + -5a = 1a
-9 + 1a = 20 + 5a + -5a

Combine like terms: 5a + -5a = 0
-9 + 1a = 20 + 0
-9 + 1a = 20

Add '9' to each side of the equation.
-9 + 9 + 1a = 20 + 9

Combine like terms: -9 + 9 = 0
0 + 1a = 20 + 9
1a = 20 + 9

Combine like terms: 20 + 9 = 29
1a = 29

Divide each side by '1'.
a = 29

Simplifying
a = 29

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