.0833(156x-17)=.7(18+12x)

Solution for .0833(156x-17)=.7(18+12x) equation:

Simplifying
0.0833(156x + -17) = 0.7(18 + 12x)

Reorder the terms:
0.0833(-17 + 156x) = 0.7(18 + 12x)
(-17 * 0.0833 + 156x * 0.0833) = 0.7(18 + 12x)
(-1.4161 + 12.9948x) = 0.7(18 + 12x)
-1.4161 + 12.9948x = (18 * 0.7 + 12x * 0.7)
-1.4161 + 12.9948x = (12.6 + 8.4x)

Solving
-1.4161 + 12.9948x = 12.6 + 8.4x

Solving for variable 'x'.

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

Add '-8.4x' to each side of the equation.
-1.4161 + 12.9948x + -8.4x = 12.6 + 8.4x + -8.4x

Combine like terms: 12.9948x + -8.4x = 4.5948x
-1.4161 + 4.5948x = 12.6 + 8.4x + -8.4x

Combine like terms: 8.4x + -8.4x = 0.0
-1.4161 + 4.5948x = 12.6 + 0.0
-1.4161 + 4.5948x = 12.6

Add '1.4161' to each side of the equation.
-1.4161 + 1.4161 + 4.5948x = 12.6 + 1.4161

Combine like terms: -1.4161 + 1.4161 = 0.0000
0.0000 + 4.5948x = 12.6 + 1.4161
4.5948x = 12.6 + 1.4161

Combine like terms: 12.6 + 1.4161 = 14.0161
4.5948x = 14.0161

Divide each side by '4.5948'.
x = 3.050426569

Simplifying
x = 3.050426569