5a-5=2(a+1)+10a+2

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Solution for 5a-5=2(a+1)+10a+2 equation:


Simplifying
5a + -5 = 2(a + 1) + 10a + 2

Reorder the terms:
-5 + 5a = 2(a + 1) + 10a + 2

Reorder the terms:
-5 + 5a = 2(1 + a) + 10a + 2
-5 + 5a = (1 * 2 + a * 2) + 10a + 2
-5 + 5a = (2 + 2a) + 10a + 2

Reorder the terms:
-5 + 5a = 2 + 2 + 2a + 10a

Combine like terms: 2 + 2 = 4
-5 + 5a = 4 + 2a + 10a

Combine like terms: 2a + 10a = 12a
-5 + 5a = 4 + 12a

Solving
-5 + 5a = 4 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
-5 + 5a + -12a = 4 + 12a + -12a

Combine like terms: 5a + -12a = -7a
-5 + -7a = 4 + 12a + -12a

Combine like terms: 12a + -12a = 0
-5 + -7a = 4 + 0
-5 + -7a = 4

Add '5' to each side of the equation.
-5 + 5 + -7a = 4 + 5

Combine like terms: -5 + 5 = 0
0 + -7a = 4 + 5
-7a = 4 + 5

Combine like terms: 4 + 5 = 9
-7a = 9

Divide each side by '-7'.
a = -1.285714286

Simplifying
a = -1.285714286

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