2x+6-x=0.33(3x+18)

Solution for 2x+6-x=0.33(3x+18) equation:

Simplifying
2x + 6 + -1x = 0.33(3x + 18)

Reorder the terms:
6 + 2x + -1x = 0.33(3x + 18)

Combine like terms: 2x + -1x = 1x
6 + 1x = 0.33(3x + 18)

Reorder the terms:
6 + 1x = 0.33(18 + 3x)
6 + 1x = (18 * 0.33 + 3x * 0.33)
6 + 1x = (5.94 + 0.99x)

Solving
6 + 1x = 5.94 + 0.99x

Solving for variable 'x'.

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

Add '-0.99x' to each side of the equation.
6 + 1x + -0.99x = 5.94 + 0.99x + -0.99x

Combine like terms: 1x + -0.99x = 0.01x
6 + 0.01x = 5.94 + 0.99x + -0.99x

Combine like terms: 0.99x + -0.99x = 0.00
6 + 0.01x = 5.94 + 0.00
6 + 0.01x = 5.94

Add '-6' to each side of the equation.
6 + -6 + 0.01x = 5.94 + -6

Combine like terms: 6 + -6 = 0
0 + 0.01x = 5.94 + -6
0.01x = 5.94 + -6

Combine like terms: 5.94 + -6 = -0.06
0.01x = -0.06

Divide each side by '0.01'.
x = -6

Simplifying
x = -6