.333(4x+1)=3(1-3x)+18

Solution for .333(4x+1)=3(1-3x)+18 equation:

Simplifying
0.333(4x + 1) = 3(1 + -3x) + 18

Reorder the terms:
0.333(1 + 4x) = 3(1 + -3x) + 18
(1 * 0.333 + 4x * 0.333) = 3(1 + -3x) + 18
(0.333 + 1.332x) = 3(1 + -3x) + 18
0.333 + 1.332x = (1 * 3 + -3x * 3) + 18
0.333 + 1.332x = (3 + -9x) + 18

Reorder the terms:
0.333 + 1.332x = 3 + 18 + -9x

Combine like terms: 3 + 18 = 21
0.333 + 1.332x = 21 + -9x

Solving
0.333 + 1.332x = 21 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
0.333 + 1.332x + 9x = 21 + -9x + 9x

Combine like terms: 1.332x + 9x = 10.332x
0.333 + 10.332x = 21 + -9x + 9x

Combine like terms: -9x + 9x = 0
0.333 + 10.332x = 21 + 0
0.333 + 10.332x = 21

Add '-0.333' to each side of the equation.
0.333 + -0.333 + 10.332x = 21 + -0.333

Combine like terms: 0.333 + -0.333 = 0.000
0.000 + 10.332x = 21 + -0.333
10.332x = 21 + -0.333

Combine like terms: 21 + -0.333 = 20.667
10.332x = 20.667

Divide each side by '10.332'.
x = 2.00029036

Simplifying
x = 2.00029036