6(x-6)+1=42-x

Solution for 6(x-6)+1=42-x equation:

Simplifying
6(x + -6) + 1 = 42 + -1x

Reorder the terms:
6(-6 + x) + 1 = 42 + -1x
(-6 * 6 + x * 6) + 1 = 42 + -1x
(-36 + 6x) + 1 = 42 + -1x

Reorder the terms:
-36 + 1 + 6x = 42 + -1x

Combine like terms: -36 + 1 = -35
-35 + 6x = 42 + -1x

Solving
-35 + 6x = 42 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-35 + 6x + x = 42 + -1x + x

Combine like terms: 6x + x = 7x
-35 + 7x = 42 + -1x + x

Combine like terms: -1x + x = 0
-35 + 7x = 42 + 0
-35 + 7x = 42

Add '35' to each side of the equation.
-35 + 35 + 7x = 42 + 35

Combine like terms: -35 + 35 = 0
0 + 7x = 42 + 35
7x = 42 + 35

Combine like terms: 42 + 35 = 77
7x = 77

Divide each side by '7'.
x = 11

Simplifying
x = 11