6-3(7x-2)=x

Solution for 6-3(7x-2)=x equation:

Simplifying
6 + -3(7x + -2) = x

Reorder the terms:
6 + -3(-2 + 7x) = x
6 + (-2 * -3 + 7x * -3) = x
6 + (6 + -21x) = x

Combine like terms: 6 + 6 = 12
12 + -21x = x

Solving
12 + -21x = 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.
12 + -21x + -1x = x + -1x

Combine like terms: -21x + -1x = -22x
12 + -22x = x + -1x

Combine like terms: x + -1x = 0
12 + -22x = 0

Add '-12' to each side of the equation.
12 + -12 + -22x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -22x = 0 + -12
-22x = 0 + -12

Combine like terms: 0 + -12 = -12
-22x = -12

Divide each side by '-22'.
x = 0.5454545455

Simplifying
x = 0.5454545455