6(3a+2)=10a+12

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Solution for 6(3a+2)=10a+12 equation:


Simplifying
6(3a + 2) = 10a + 12

Reorder the terms:
6(2 + 3a) = 10a + 12
(2 * 6 + 3a * 6) = 10a + 12
(12 + 18a) = 10a + 12

Reorder the terms:
12 + 18a = 12 + 10a

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

Combine like terms: 12 + -12 = 0
0 + 18a = 12 + -12 + 10a
18a = 12 + -12 + 10a

Combine like terms: 12 + -12 = 0
18a = 0 + 10a
18a = 10a

Solving
18a = 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.
18a + -10a = 10a + -10a

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

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

Divide each side by '8'.
a = 0

Simplifying
a = 0

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