6(3a+2)=5(2a+9)

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Solution for 6(3a+2)=5(2a+9) equation:


Simplifying
6(3a + 2) = 5(2a + 9)

Reorder the terms:
6(2 + 3a) = 5(2a + 9)
(2 * 6 + 3a * 6) = 5(2a + 9)
(12 + 18a) = 5(2a + 9)

Reorder the terms:
12 + 18a = 5(9 + 2a)
12 + 18a = (9 * 5 + 2a * 5)
12 + 18a = (45 + 10a)

Solving
12 + 18a = 45 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
12 + 18a + -10a = 45 + 10a + -10a

Combine like terms: 18a + -10a = 8a
12 + 8a = 45 + 10a + -10a

Combine like terms: 10a + -10a = 0
12 + 8a = 45 + 0
12 + 8a = 45

Add '-12' to each side of the equation.
12 + -12 + 8a = 45 + -12

Combine like terms: 12 + -12 = 0
0 + 8a = 45 + -12
8a = 45 + -12

Combine like terms: 45 + -12 = 33
8a = 33

Divide each side by '8'.
a = 4.125

Simplifying
a = 4.125

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