3(2-x)=30-2(1-4x)

Solution for 3(2-x)=30-2(1-4x) equation:

Simplifying
3(2 + -1x) = 30 + -2(1 + -4x)
(2 * 3 + -1x * 3) = 30 + -2(1 + -4x)
(6 + -3x) = 30 + -2(1 + -4x)
6 + -3x = 30 + (1 * -2 + -4x * -2)
6 + -3x = 30 + (-2 + 8x)

Combine like terms: 30 + -2 = 28
6 + -3x = 28 + 8x

Solving
6 + -3x = 28 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + -3x + -8x = 28 + 8x + -8x

Combine like terms: -3x + -8x = -11x
6 + -11x = 28 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -11x = 28 + 0
6 + -11x = 28

Add '-6' to each side of the equation.
6 + -6 + -11x = 28 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = 28 + -6
-11x = 28 + -6

Combine like terms: 28 + -6 = 22
-11x = 22

Divide each side by '-11'.
x = -2

Simplifying
x = -2