.083(156x-17)=6(18+12x)

Solution for .083(156x-17)=6(18+12x) equation:

Simplifying
0.083(156x + -17) = 6(18 + 12x)

Reorder the terms:
0.083(-17 + 156x) = 6(18 + 12x)
(-17 * 0.083 + 156x * 0.083) = 6(18 + 12x)
(-1.411 + 12.948x) = 6(18 + 12x)
-1.411 + 12.948x = (18 * 6 + 12x * 6)
-1.411 + 12.948x = (108 + 72x)

Solving
-1.411 + 12.948x = 108 + 72x

Solving for variable 'x'.

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

Add '-72x' to each side of the equation.
-1.411 + 12.948x + -72x = 108 + 72x + -72x

Combine like terms: 12.948x + -72x = -59.052x
-1.411 + -59.052x = 108 + 72x + -72x

Combine like terms: 72x + -72x = 0
-1.411 + -59.052x = 108 + 0
-1.411 + -59.052x = 108

Add '1.411' to each side of the equation.
-1.411 + 1.411 + -59.052x = 108 + 1.411

Combine like terms: -1.411 + 1.411 = 0.000
0.000 + -59.052x = 108 + 1.411
-59.052x = 108 + 1.411

Combine like terms: 108 + 1.411 = 109.411
-59.052x = 109.411

Divide each side by '-59.052'.
x = -1.852790761

Simplifying
x = -1.852790761