2a+8=7a-5

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


Simplifying
2a + 8 = 7a + -5

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

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

Solving
8 + 2a = -5 + 7a

Solving for variable 'a'.

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

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

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

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

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

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

Combine like terms: -5 + -8 = -13
-5a = -13

Divide each side by '-5'.
a = 2.6

Simplifying
a = 2.6

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