3-a+1=7a

Solution for 3-a+1=7a equation:

Simplifying
3 + -1a + 1 = 7a

Reorder the terms:
3 + 1 + -1a = 7a

Combine like terms: 3 + 1 = 4
4 + -1a = 7a

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

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

Combine like terms: 7a + -7a = 0
4 + -8a = 0

Add '-4' to each side of the equation.
4 + -4 + -8a = 0 + -4

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

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

Divide each side by '-8'.
a = 0.5

Simplifying
a = 0.5