(a-1)=6(a+1)

Solution for (a-1)=6(a+1) equation:

Simplifying
(a + -1) = 6(a + 1)

Reorder the terms:
(-1 + a) = 6(a + 1)

Remove parenthesis around (-1 + a)
-1 + a = 6(a + 1)

Reorder the terms:
-1 + a = 6(1 + a)
-1 + a = (1 * 6 + a * 6)
-1 + a = (6 + 6a)

Solving
-1 + a = 6 + 6a

Solving for variable 'a'.

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

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

Combine like terms: a + -6a = -5a
-1 + -5a = 6 + 6a + -6a

Combine like terms: 6a + -6a = 0
-1 + -5a = 6 + 0
-1 + -5a = 6

Add '1' to each side of the equation.
-1 + 1 + -5a = 6 + 1

Combine like terms: -1 + 1 = 0
0 + -5a = 6 + 1
-5a = 6 + 1

Combine like terms: 6 + 1 = 7
-5a = 7

Divide each side by '-5'.
a = -1.4

Simplifying
a = -1.4