Solve 1.5left(1.-8/3xright)=2.4

$$1.5 \left( 1.- \frac{ 8 }{ 3 } x \right) = 2.4$$

Solve for x

$$x=-0.225$$

Steps for Solving Linear Equation

Divide both sides by 1.5.

$$1-\frac{8}{3}x=\frac{2.4}{1.5}$$

Expand \frac{2.4}{1.5} by multiplying both numerator and the denominator by 10.

$$1-\frac{8}{3}x=\frac{24}{15}$$

Reduce the fraction \frac{24}{15} to lowest terms by extracting and canceling out 3.

$$1-\frac{8}{3}x=\frac{8}{5}$$

Subtract 1 from both sides.

$$-\frac{8}{3}x=\frac{8}{5}-1$$

Convert 1 to fraction \frac{5}{5}.

$$-\frac{8}{3}x=\frac{8}{5}-\frac{5}{5}$$

Since \frac{8}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{8}{3}x=\frac{8-5}{5}$$

Subtract 5 from 8 to get 3.

$$-\frac{8}{3}x=\frac{3}{5}$$

Multiply both sides by -\frac{3}{8}, the reciprocal of -\frac{8}{3}.

$$x=\frac{3}{5}\left(-\frac{3}{8}\right)$$

Multiply \frac{3}{5} times -\frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\left(-3\right)}{5\times 8}$$

Do the multiplications in the fraction \frac{3\left(-3\right)}{5\times 8}.

$$x=\frac{-9}{40}$$

Fraction \frac{-9}{40} can be rewritten as -\frac{9}{40} by extracting the negative sign.

$$x=-\frac{9}{40}$$