10a+8=a-10

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Solution for 10a+8=a-10 equation:


Simplifying
10a + 8 = a + -10

Reorder the terms:
8 + 10a = a + -10

Reorder the terms:
8 + 10a = -10 + a

Solving
8 + 10a = -10 + 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.
8 + 10a + -1a = -10 + a + -1a

Combine like terms: 10a + -1a = 9a
8 + 9a = -10 + a + -1a

Combine like terms: a + -1a = 0
8 + 9a = -10 + 0
8 + 9a = -10

Add '-8' to each side of the equation.
8 + -8 + 9a = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 9a = -10 + -8
9a = -10 + -8

Combine like terms: -10 + -8 = -18
9a = -18

Divide each side by '9'.
a = -2

Simplifying
a = -2

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