5a-1=a-7

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


Simplifying
5a + -1 = a + -7

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

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

Solving
-1 + 5a = -7 + 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.
-1 + 5a + -1a = -7 + a + -1a

Combine like terms: 5a + -1a = 4a
-1 + 4a = -7 + a + -1a

Combine like terms: a + -1a = 0
-1 + 4a = -7 + 0
-1 + 4a = -7

Add '1' to each side of the equation.
-1 + 1 + 4a = -7 + 1

Combine like terms: -1 + 1 = 0
0 + 4a = -7 + 1
4a = -7 + 1

Combine like terms: -7 + 1 = -6
4a = -6

Divide each side by '4'.
a = -1.5

Simplifying
a = -1.5

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