7a-1=5a+8

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Solution for 7a-1=5a+8 equation:


Simplifying
7a + -1 = 5a + 8

Reorder the terms:
-1 + 7a = 5a + 8

Reorder the terms:
-1 + 7a = 8 + 5a

Solving
-1 + 7a = 8 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-1 + 7a + -5a = 8 + 5a + -5a

Combine like terms: 7a + -5a = 2a
-1 + 2a = 8 + 5a + -5a

Combine like terms: 5a + -5a = 0
-1 + 2a = 8 + 0
-1 + 2a = 8

Add '1' to each side of the equation.
-1 + 1 + 2a = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 2a = 8 + 1
2a = 8 + 1

Combine like terms: 8 + 1 = 9
2a = 9

Divide each side by '2'.
a = 4.5

Simplifying
a = 4.5

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