Solve 4.13-0.14x=5x-1.781

$$4.13 - 0.14 x = 5 x - 1.781$$

Solve for x

$$x=1.15$$

Steps for Solving Linear Equation

Subtract 5x from both sides.

$$4.13-0.14x-5x=-1.781$$

Combine -0.14x and -5x to get -5.14x.

$$4.13-5.14x=-1.781$$

Subtract 4.13 from both sides.

$$-5.14x=-1.781-4.13$$

Subtract 4.13 from -1.781 to get -5.911.

$$-5.14x=-5.911$$

Divide both sides by -5.14.

$$x=\frac{-5.911}{-5.14}$$

Expand \frac{-5.911}{-5.14} by multiplying both numerator and the denominator by 1000.

$$x=\frac{-5911}{-5140}$$

Reduce the fraction \frac{-5911}{-5140} to lowest terms by extracting and canceling out -257.

$$x=\frac{23}{20}$$