Solve 14.7=418+9(14-x)+27x/40

$$14.7 = \frac { 418 + 9 ( 14 - x ) + 27 x } { 40 }$$

Solve for x

$$x = \frac{22}{9} = 2\frac{4}{9} \approx 2.444444444$$

Steps for Solving Linear Equation

Multiply both sides by 40.

$$14.7\times 40=418+9\left(14-x\right)+27x$$

Multiply 14.7 and 40 to get 588.

$$588=418+9\left(14-x\right)+27x$$

Use the distributive property to multiply 9 by 14-x.

$$588=418+126-9x+27x$$

Add 418 and 126 to get 544.

$$588=544-9x+27x$$

Combine -9x and 27x to get 18x.

$$588=544+18x$$

Swap sides so that all variable terms are on the left hand side.

$$544+18x=588$$

Subtract 544 from both sides.

$$18x=588-544$$

Subtract 544 from 588 to get 44.

$$18x=44$$

Divide both sides by 18.

$$x=\frac{44}{18}$$

Reduce the fraction \frac{44}{18} to lowest terms by extracting and canceling out 2.

$$x=\frac{22}{9}$$