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

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


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

Reorder the terms:
3(-1 + 2a) = 5(a + 2)
(-1 * 3 + 2a * 3) = 5(a + 2)
(-3 + 6a) = 5(a + 2)

Reorder the terms:
-3 + 6a = 5(2 + a)
-3 + 6a = (2 * 5 + a * 5)
-3 + 6a = (10 + 5a)

Solving
-3 + 6a = 10 + 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.
-3 + 6a + -5a = 10 + 5a + -5a

Combine like terms: 6a + -5a = 1a
-3 + 1a = 10 + 5a + -5a

Combine like terms: 5a + -5a = 0
-3 + 1a = 10 + 0
-3 + 1a = 10

Add '3' to each side of the equation.
-3 + 3 + 1a = 10 + 3

Combine like terms: -3 + 3 = 0
0 + 1a = 10 + 3
1a = 10 + 3

Combine like terms: 10 + 3 = 13
1a = 13

Divide each side by '1'.
a = 13

Simplifying
a = 13

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