Solve 5.74x+5.42=2.24x-9.28

$$5.74 x + 5.42 = 2.24 x - 9.28$$

Solve for x

$$x=-4.2$$

Steps for Solving Linear Equation

Subtract 2.24x from both sides.

$$5.74x+5.42-2.24x=-9.28$$

Combine 5.74x and -2.24x to get 3.5x.

$$3.5x+5.42=-9.28$$

Subtract 5.42 from both sides.

$$3.5x=-9.28-5.42$$

Subtract 5.42 from -9.28 to get -14.7.

$$3.5x=-14.7$$

Divide both sides by 3.5.

$$x=\frac{-14.7}{3.5}$$

Expand \frac{-14.7}{3.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-147}{35}$$

Reduce the fraction \frac{-147}{35} to lowest terms by extracting and canceling out 7.

$$x=-\frac{21}{5}$$