0.166(x-12)+0.33(x+3)=x+33

Solution for 0.166(x-12)+0.33(x+3)=x+33 equation:

Simplifying
0.166(x + -12) + 0.33(x + 3) = x + 33

Reorder the terms:
0.166(-12 + x) + 0.33(x + 3) = x + 33
(-12 * 0.166 + x * 0.166) + 0.33(x + 3) = x + 33
(-1.992 + 0.166x) + 0.33(x + 3) = x + 33

Reorder the terms:
-1.992 + 0.166x + 0.33(3 + x) = x + 33
-1.992 + 0.166x + (3 * 0.33 + x * 0.33) = x + 33
-1.992 + 0.166x + (0.99 + 0.33x) = x + 33

Reorder the terms:
-1.992 + 0.99 + 0.166x + 0.33x = x + 33

Combine like terms: -1.992 + 0.99 = -1.002
-1.002 + 0.166x + 0.33x = x + 33

Combine like terms: 0.166x + 0.33x = 0.496x
-1.002 + 0.496x = x + 33

Reorder the terms:
-1.002 + 0.496x = 33 + x

Solving
-1.002 + 0.496x = 33 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1.002 + 0.496x + -1x = 33 + x + -1x

Combine like terms: 0.496x + -1x = -0.504x
-1.002 + -0.504x = 33 + x + -1x

Combine like terms: x + -1x = 0
-1.002 + -0.504x = 33 + 0
-1.002 + -0.504x = 33

Add '1.002' to each side of the equation.
-1.002 + 1.002 + -0.504x = 33 + 1.002

Combine like terms: -1.002 + 1.002 = 0.000
0.000 + -0.504x = 33 + 1.002
-0.504x = 33 + 1.002

Combine like terms: 33 + 1.002 = 34.002
-0.504x = 34.002

Divide each side by '-0.504'.
x = -67.46428571

Simplifying
x = -67.46428571