6(6x-1)+7x=x+36

Solution for 6(6x-1)+7x=x+36 equation:

Simplifying
6(6x + -1) + 7x = x + 36

Reorder the terms:
6(-1 + 6x) + 7x = x + 36
(-1 * 6 + 6x * 6) + 7x = x + 36
(-6 + 36x) + 7x = x + 36

Combine like terms: 36x + 7x = 43x
-6 + 43x = x + 36

Reorder the terms:
-6 + 43x = 36 + x

Solving
-6 + 43x = 36 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 43x + -1x = 36 + x + -1x

Combine like terms: 43x + -1x = 42x
-6 + 42x = 36 + x + -1x

Combine like terms: x + -1x = 0
-6 + 42x = 36 + 0
-6 + 42x = 36

Add '6' to each side of the equation.
-6 + 6 + 42x = 36 + 6

Combine like terms: -6 + 6 = 0
0 + 42x = 36 + 6
42x = 36 + 6

Combine like terms: 36 + 6 = 42
42x = 42

Divide each side by '42'.
x = 1

Simplifying
x = 1