3(a-5)=a+1

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


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

Reorder the terms:
3(-5 + a) = a + 1
(-5 * 3 + a * 3) = a + 1
(-15 + 3a) = a + 1

Reorder the terms:
-15 + 3a = 1 + a

Solving
-15 + 3a = 1 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-15 + 3a + -1a = 1 + a + -1a

Combine like terms: 3a + -1a = 2a
-15 + 2a = 1 + a + -1a

Combine like terms: a + -1a = 0
-15 + 2a = 1 + 0
-15 + 2a = 1

Add '15' to each side of the equation.
-15 + 15 + 2a = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 2a = 1 + 15
2a = 1 + 15

Combine like terms: 1 + 15 = 16
2a = 16

Divide each side by '2'.
a = 8

Simplifying
a = 8

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