Solve 3+0.8x=2.4*0.9x

$$3 + 0.8 x = 2.4 * 0.9 x$$

Solve for x

$$x = \frac{75}{34} = 2\frac{7}{34} \approx 2.205882353$$

Steps for Solving Linear Equation

Multiply 2.4 and 0.9 to get 2.16.

$$3+0.8x=2.16x$$

Subtract 2.16x from both sides.

$$3+0.8x-2.16x=0$$

Combine 0.8x and -2.16x to get -1.36x.

$$3-1.36x=0$$

Subtract 3 from both sides. Anything subtracted from zero gives its negation.

$$-1.36x=-3$$

Divide both sides by -1.36.

$$x=\frac{-3}{-1.36}$$

Expand \frac{-3}{-1.36} by multiplying both numerator and the denominator by 100.

$$x=\frac{-300}{-136}$$

Reduce the fraction \frac{-300}{-136} to lowest terms by extracting and canceling out -4.

$$x=\frac{75}{34}$$