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

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


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

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

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

Solving
10 + 10a = -18 + 18a

Solving for variable 'a'.

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

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

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

Combine like terms: 18a + -18a = 0
10 + -8a = -18 + 0
10 + -8a = -18

Add '-10' to each side of the equation.
10 + -10 + -8a = -18 + -10

Combine like terms: 10 + -10 = 0
0 + -8a = -18 + -10
-8a = -18 + -10

Combine like terms: -18 + -10 = -28
-8a = -28

Divide each side by '-8'.
a = 3.5

Simplifying
a = 3.5

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