5(5a-3)=6(4a+1)

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Solution for 5(5a-3)=6(4a+1) equation:


Simplifying
5(5a + -3) = 6(4a + 1)

Reorder the terms:
5(-3 + 5a) = 6(4a + 1)
(-3 * 5 + 5a * 5) = 6(4a + 1)
(-15 + 25a) = 6(4a + 1)

Reorder the terms:
-15 + 25a = 6(1 + 4a)
-15 + 25a = (1 * 6 + 4a * 6)
-15 + 25a = (6 + 24a)

Solving
-15 + 25a = 6 + 24a

Solving for variable 'a'.

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

Add '-24a' to each side of the equation.
-15 + 25a + -24a = 6 + 24a + -24a

Combine like terms: 25a + -24a = 1a
-15 + 1a = 6 + 24a + -24a

Combine like terms: 24a + -24a = 0
-15 + 1a = 6 + 0
-15 + 1a = 6

Add '15' to each side of the equation.
-15 + 15 + 1a = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 1a = 6 + 15
1a = 6 + 15

Combine like terms: 6 + 15 = 21
1a = 21

Divide each side by '1'.
a = 21

Simplifying
a = 21

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