Solve 6000left(0.5-xright)=54+60x/0.6

$$6000 \left( 0.5-x \right) = \frac{ 54+60x }{ 0.6 }$$

Solve for x

$$x=\frac{291}{610}\approx 0.47704918$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6000 by 0.5-x.

$$3000-6000x=\frac{54+60x}{0.6}$$

Divide each term of 54+60x by 0.6 to get \frac{54}{0.6}+\frac{60x}{0.6}.

$$3000-6000x=\frac{54}{0.6}+\frac{60x}{0.6}$$

Expand \frac{54}{0.6} by multiplying both numerator and the denominator by 10.

$$3000-6000x=\frac{540}{6}+\frac{60x}{0.6}$$

Divide 540 by 6 to get 90.

$$3000-6000x=90+\frac{60x}{0.6}$$

Divide 60x by 0.6 to get 100x.

$$3000-6000x=90+100x$$

Subtract 100x from both sides.

$$3000-6000x-100x=90$$

Combine -6000x and -100x to get -6100x.

$$3000-6100x=90$$

Subtract 3000 from both sides.

$$-6100x=90-3000$$

Subtract 3000 from 90 to get -2910.

$$-6100x=-2910$$

Divide both sides by -6100.

$$x=\frac{-2910}{-6100}$$

Reduce the fraction \frac{-2910}{-6100} to lowest terms by extracting and canceling out -10.

$$x=\frac{291}{610}$$