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

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

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

Reorder the terms:
6(-7 + a) = 2(a + -1)
(-7 * 6 + a * 6) = 2(a + -1)
(-42 + 6a) = 2(a + -1)

Reorder the terms:
-42 + 6a = 2(-1 + a)
-42 + 6a = (-1 * 2 + a * 2)
-42 + 6a = (-2 + 2a)

Solving
-42 + 6a = -2 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-42 + 6a + -2a = -2 + 2a + -2a

Combine like terms: 6a + -2a = 4a
-42 + 4a = -2 + 2a + -2a

Combine like terms: 2a + -2a = 0
-42 + 4a = -2 + 0
-42 + 4a = -2

Add '42' to each side of the equation.
-42 + 42 + 4a = -2 + 42

Combine like terms: -42 + 42 = 0
0 + 4a = -2 + 42
4a = -2 + 42

Combine like terms: -2 + 42 = 40
4a = 40

Divide each side by '4'.
a = 10

Simplifying
a = 10