7a+1=a+43

Solution for 7a+1=a+43 equation:

Simplifying
7a + 1 = a + 43

Reorder the terms:
1 + 7a = a + 43

Reorder the terms:
1 + 7a = 43 + a

Solving
1 + 7a = 43 + 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 + 7a + -1a = 43 + a + -1a

Combine like terms: 7a + -1a = 6a
1 + 6a = 43 + a + -1a

Combine like terms: a + -1a = 0
1 + 6a = 43 + 0
1 + 6a = 43

Add '-1' to each side of the equation.
1 + -1 + 6a = 43 + -1

Combine like terms: 1 + -1 = 0
0 + 6a = 43 + -1
6a = 43 + -1

Combine like terms: 43 + -1 = 42
6a = 42

Divide each side by '6'.
a = 7

Simplifying
a = 7