7a+8=2a-5

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


Simplifying
7a + 8 = 2a + -5

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

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

Solving
8 + 7a = -5 + 2a

Solving for variable 'a'.

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

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

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

Combine like terms: 2a + -2a = 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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