2a-5=8a+7

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Solution for 2a-5=8a+7 equation:


Simplifying
2a + -5 = 8a + 7

Reorder the terms:
-5 + 2a = 8a + 7

Reorder the terms:
-5 + 2a = 7 + 8a

Solving
-5 + 2a = 7 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
-5 + 2a + -8a = 7 + 8a + -8a

Combine like terms: 2a + -8a = -6a
-5 + -6a = 7 + 8a + -8a

Combine like terms: 8a + -8a = 0
-5 + -6a = 7 + 0
-5 + -6a = 7

Add '5' to each side of the equation.
-5 + 5 + -6a = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -6a = 7 + 5
-6a = 7 + 5

Combine like terms: 7 + 5 = 12
-6a = 12

Divide each side by '-6'.
a = -2

Simplifying
a = -2

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