7(a-2)=6(a+1)

Solution for 7(a-2)=6(a+1) equation:

Simplifying
7(a + -2) = 6(a + 1)

Reorder the terms:
7(-2 + a) = 6(a + 1)
(-2 * 7 + a * 7) = 6(a + 1)
(-14 + 7a) = 6(a + 1)

Reorder the terms:
-14 + 7a = 6(1 + a)
-14 + 7a = (1 * 6 + a * 6)
-14 + 7a = (6 + 6a)

Solving
-14 + 7a = 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.
-14 + 7a + -6a = 6 + 6a + -6a

Combine like terms: 7a + -6a = 1a
-14 + 1a = 6 + 6a + -6a

Combine like terms: 6a + -6a = 0
-14 + 1a = 6 + 0
-14 + 1a = 6

Add '14' to each side of the equation.
-14 + 14 + 1a = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 1a = 6 + 14
1a = 6 + 14

Combine like terms: 6 + 14 = 20
1a = 20

Divide each side by '1'.
a = 20

Simplifying
a = 20