5(a-1)=2(a+11)

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Solution for 5(a-1)=2(a+11) equation:


Simplifying
5(a + -1) = 2(a + 11)

Reorder the terms:
5(-1 + a) = 2(a + 11)
(-1 * 5 + a * 5) = 2(a + 11)
(-5 + 5a) = 2(a + 11)

Reorder the terms:
-5 + 5a = 2(11 + a)
-5 + 5a = (11 * 2 + a * 2)
-5 + 5a = (22 + 2a)

Solving
-5 + 5a = 22 + 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.
-5 + 5a + -2a = 22 + 2a + -2a

Combine like terms: 5a + -2a = 3a
-5 + 3a = 22 + 2a + -2a

Combine like terms: 2a + -2a = 0
-5 + 3a = 22 + 0
-5 + 3a = 22

Add '5' to each side of the equation.
-5 + 5 + 3a = 22 + 5

Combine like terms: -5 + 5 = 0
0 + 3a = 22 + 5
3a = 22 + 5

Combine like terms: 22 + 5 = 27
3a = 27

Divide each side by '3'.
a = 9

Simplifying
a = 9

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