Solve 46.612-0.9x=8(0.31x+2.7)

$$46.612-0.9x=8(0.31x+2.7)$$

Solve for x

$$x=7.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 0.31x+2.7.

$$46.612-0.9x=2.48x+21.6$$

Subtract 2.48x from both sides.

$$46.612-0.9x-2.48x=21.6$$

Combine -0.9x and -2.48x to get -3.38x.

$$46.612-3.38x=21.6$$

Subtract 46.612 from both sides.

$$-3.38x=21.6-46.612$$

Subtract 46.612 from 21.6 to get -25.012.

$$-3.38x=-25.012$$

Divide both sides by -3.38.

$$x=\frac{-25.012}{-3.38}$$

Expand \frac{-25.012}{-3.38} by multiplying both numerator and the denominator by 1000.

$$x=\frac{-25012}{-3380}$$

Reduce the fraction \frac{-25012}{-3380} to lowest terms by extracting and canceling out -676.

$$x=\frac{37}{5}$$