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

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


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

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

Reorder the terms:
-18 + 6a = 2(5 + a)
-18 + 6a = (5 * 2 + a * 2)
-18 + 6a = (10 + 2a)

Solving
-18 + 6a = 10 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-18 + 6a + -2a = 10 + 2a + -2a

Combine like terms: 6a + -2a = 4a
-18 + 4a = 10 + 2a + -2a

Combine like terms: 2a + -2a = 0
-18 + 4a = 10 + 0
-18 + 4a = 10

Add '18' to each side of the equation.
-18 + 18 + 4a = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 4a = 10 + 18
4a = 10 + 18

Combine like terms: 10 + 18 = 28
4a = 28

Divide each side by '4'.
a = 7

Simplifying
a = 7

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