-3(2-7x)=3(8x+6)+6

Solution for -3(2-7x)=3(8x+6)+6 equation:

Simplifying
-3(2 + -7x) = 3(8x + 6) + 6
(2 * -3 + -7x * -3) = 3(8x + 6) + 6
(-6 + 21x) = 3(8x + 6) + 6

Reorder the terms:
-6 + 21x = 3(6 + 8x) + 6
-6 + 21x = (6 * 3 + 8x * 3) + 6
-6 + 21x = (18 + 24x) + 6

Reorder the terms:
-6 + 21x = 18 + 6 + 24x

Combine like terms: 18 + 6 = 24
-6 + 21x = 24 + 24x

Solving
-6 + 21x = 24 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-6 + 21x + -24x = 24 + 24x + -24x

Combine like terms: 21x + -24x = -3x
-6 + -3x = 24 + 24x + -24x

Combine like terms: 24x + -24x = 0
-6 + -3x = 24 + 0
-6 + -3x = 24

Add '6' to each side of the equation.
-6 + 6 + -3x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 24 + 6
-3x = 24 + 6

Combine like terms: 24 + 6 = 30
-3x = 30

Divide each side by '-3'.
x = -10

Simplifying
x = -10