3a-5=2(a+1)+8a+1

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Solution for 3a-5=2(a+1)+8a+1 equation:


Simplifying
3a + -5 = 2(a + 1) + 8a + 1

Reorder the terms:
-5 + 3a = 2(a + 1) + 8a + 1

Reorder the terms:
-5 + 3a = 2(1 + a) + 8a + 1
-5 + 3a = (1 * 2 + a * 2) + 8a + 1
-5 + 3a = (2 + 2a) + 8a + 1

Reorder the terms:
-5 + 3a = 2 + 1 + 2a + 8a

Combine like terms: 2 + 1 = 3
-5 + 3a = 3 + 2a + 8a

Combine like terms: 2a + 8a = 10a
-5 + 3a = 3 + 10a

Solving
-5 + 3a = 3 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
-5 + 3a + -10a = 3 + 10a + -10a

Combine like terms: 3a + -10a = -7a
-5 + -7a = 3 + 10a + -10a

Combine like terms: 10a + -10a = 0
-5 + -7a = 3 + 0
-5 + -7a = 3

Add '5' to each side of the equation.
-5 + 5 + -7a = 3 + 5

Combine like terms: -5 + 5 = 0
0 + -7a = 3 + 5
-7a = 3 + 5

Combine like terms: 3 + 5 = 8
-7a = 8

Divide each side by '-7'.
a = -1.142857143

Simplifying
a = -1.142857143

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