.33(x-6)=.22(x+18)

Solution for .33(x-6)=.22(x+18) equation:

Simplifying
0.33(x + -6) = 0.22(x + 18)

Reorder the terms:
0.33(-6 + x) = 0.22(x + 18)
(-6 * 0.33 + x * 0.33) = 0.22(x + 18)
(-1.98 + 0.33x) = 0.22(x + 18)

Reorder the terms:
-1.98 + 0.33x = 0.22(18 + x)
-1.98 + 0.33x = (18 * 0.22 + x * 0.22)
-1.98 + 0.33x = (3.96 + 0.22x)

Solving
-1.98 + 0.33x = 3.96 + 0.22x

Solving for variable 'x'.

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

Add '-0.22x' to each side of the equation.
-1.98 + 0.33x + -0.22x = 3.96 + 0.22x + -0.22x

Combine like terms: 0.33x + -0.22x = 0.11x
-1.98 + 0.11x = 3.96 + 0.22x + -0.22x

Combine like terms: 0.22x + -0.22x = 0.00
-1.98 + 0.11x = 3.96 + 0.00
-1.98 + 0.11x = 3.96

Add '1.98' to each side of the equation.
-1.98 + 1.98 + 0.11x = 3.96 + 1.98

Combine like terms: -1.98 + 1.98 = 0.00
0.00 + 0.11x = 3.96 + 1.98
0.11x = 3.96 + 1.98

Combine like terms: 3.96 + 1.98 = 5.94
0.11x = 5.94

Divide each side by '0.11'.
x = 54

Simplifying
x = 54