7a-1=8a+4

Solution for 7a-1=8a+4 equation:

Simplifying
7a + -1 = 8a + 4

Reorder the terms:
-1 + 7a = 8a + 4

Reorder the terms:
-1 + 7a = 4 + 8a

Solving
-1 + 7a = 4 + 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.
-1 + 7a + -8a = 4 + 8a + -8a

Combine like terms: 7a + -8a = -1a
-1 + -1a = 4 + 8a + -8a

Combine like terms: 8a + -8a = 0
-1 + -1a = 4 + 0
-1 + -1a = 4

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

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

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

Divide each side by '-1'.
a = -5

Simplifying
a = -5