5(a-1)=5(3a+3)

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Solution for 5(a-1)=5(3a+3) equation:


Simplifying
5(a + -1) = 5(3a + 3)

Reorder the terms:
5(-1 + a) = 5(3a + 3)
(-1 * 5 + a * 5) = 5(3a + 3)
(-5 + 5a) = 5(3a + 3)

Reorder the terms:
-5 + 5a = 5(3 + 3a)
-5 + 5a = (3 * 5 + 3a * 5)
-5 + 5a = (15 + 15a)

Solving
-5 + 5a = 15 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
-5 + 5a + -15a = 15 + 15a + -15a

Combine like terms: 5a + -15a = -10a
-5 + -10a = 15 + 15a + -15a

Combine like terms: 15a + -15a = 0
-5 + -10a = 15 + 0
-5 + -10a = 15

Add '5' to each side of the equation.
-5 + 5 + -10a = 15 + 5

Combine like terms: -5 + 5 = 0
0 + -10a = 15 + 5
-10a = 15 + 5

Combine like terms: 15 + 5 = 20
-10a = 20

Divide each side by '-10'.
a = -2

Simplifying
a = -2

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