.0833(156x-17)=.4(18+12x)

Solution for .0833(156x-17)=.4(18+12x) equation:

Simplifying
0.0833(156x + -17) = 0.4(18 + 12x)

Reorder the terms:
0.0833(-17 + 156x) = 0.4(18 + 12x)
(-17 * 0.0833 + 156x * 0.0833) = 0.4(18 + 12x)
(-1.4161 + 12.9948x) = 0.4(18 + 12x)
-1.4161 + 12.9948x = (18 * 0.4 + 12x * 0.4)
-1.4161 + 12.9948x = (7.2 + 4.8x)

Solving
-1.4161 + 12.9948x = 7.2 + 4.8x

Solving for variable 'x'.

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

Add '-4.8x' to each side of the equation.
-1.4161 + 12.9948x + -4.8x = 7.2 + 4.8x + -4.8x

Combine like terms: 12.9948x + -4.8x = 8.1948x
-1.4161 + 8.1948x = 7.2 + 4.8x + -4.8x

Combine like terms: 4.8x + -4.8x = 0.0
-1.4161 + 8.1948x = 7.2 + 0.0
-1.4161 + 8.1948x = 7.2

Add '1.4161' to each side of the equation.
-1.4161 + 1.4161 + 8.1948x = 7.2 + 1.4161

Combine like terms: -1.4161 + 1.4161 = 0.0000
0.0000 + 8.1948x = 7.2 + 1.4161
8.1948x = 7.2 + 1.4161

Combine like terms: 7.2 + 1.4161 = 8.6161
8.1948x = 8.6161

Divide each side by '8.1948'.
x = 1.051410651

Simplifying
x = 1.051410651