2a+7=a-8

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Solution for 2a+7=a-8 equation:


Simplifying
2a + 7 = a + -8

Reorder the terms:
7 + 2a = a + -8

Reorder the terms:
7 + 2a = -8 + a

Solving
7 + 2a = -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.
7 + 2a + -1a = -8 + a + -1a

Combine like terms: 2a + -1a = 1a
7 + 1a = -8 + a + -1a

Combine like terms: a + -1a = 0
7 + 1a = -8 + 0
7 + 1a = -8

Add '-7' to each side of the equation.
7 + -7 + 1a = -8 + -7

Combine like terms: 7 + -7 = 0
0 + 1a = -8 + -7
1a = -8 + -7

Combine like terms: -8 + -7 = -15
1a = -15

Divide each side by '1'.
a = -15

Simplifying
a = -15

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