3(a-10)=2(6-2a)

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


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

Reorder the terms:
3(-10 + a) = 2(6 + -2a)
(-10 * 3 + a * 3) = 2(6 + -2a)
(-30 + 3a) = 2(6 + -2a)
-30 + 3a = (6 * 2 + -2a * 2)
-30 + 3a = (12 + -4a)

Solving
-30 + 3a = 12 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
-30 + 3a + 4a = 12 + -4a + 4a

Combine like terms: 3a + 4a = 7a
-30 + 7a = 12 + -4a + 4a

Combine like terms: -4a + 4a = 0
-30 + 7a = 12 + 0
-30 + 7a = 12

Add '30' to each side of the equation.
-30 + 30 + 7a = 12 + 30

Combine like terms: -30 + 30 = 0
0 + 7a = 12 + 30
7a = 12 + 30

Combine like terms: 12 + 30 = 42
7a = 42

Divide each side by '7'.
a = 6

Simplifying
a = 6

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