5a+2a-6=a+10-2

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Solution for 5a+2a-6=a+10-2 equation:


Simplifying
5a + 2a + -6 = a + 10 + -2

Reorder the terms:
-6 + 5a + 2a = a + 10 + -2

Combine like terms: 5a + 2a = 7a
-6 + 7a = a + 10 + -2

Reorder the terms:
-6 + 7a = 10 + -2 + a

Combine like terms: 10 + -2 = 8
-6 + 7a = 8 + a

Solving
-6 + 7a = 8 + 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.
-6 + 7a + -1a = 8 + a + -1a

Combine like terms: 7a + -1a = 6a
-6 + 6a = 8 + a + -1a

Combine like terms: a + -1a = 0
-6 + 6a = 8 + 0
-6 + 6a = 8

Add '6' to each side of the equation.
-6 + 6 + 6a = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 6a = 8 + 6
6a = 8 + 6

Combine like terms: 8 + 6 = 14
6a = 14

Divide each side by '6'.
a = 2.333333333

Simplifying
a = 2.333333333

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