Solve -24.26674+0.1x=-1.93(1-4.2x)

$$-24.26674+0.1x=-1.93(1-4.2x)$$

Solve for x

$$x=-2.79$$

Steps for Solving Linear Equation

Use the distributive property to multiply -1.93 by 1-4.2x.

$$-24.26674+0.1x=-1.93+8.106x$$

Subtract 8.106x from both sides.

$$-24.26674+0.1x-8.106x=-1.93$$

Combine 0.1x and -8.106x to get -8.006x.

$$-24.26674-8.006x=-1.93$$

Add 24.26674 to both sides.

$$-8.006x=-1.93+24.26674$$

Add -1.93 and 24.26674 to get 22.33674.

$$-8.006x=22.33674$$

Divide both sides by -8.006.

$$x=\frac{22.33674}{-8.006}$$

Expand \frac{22.33674}{-8.006} by multiplying both numerator and the denominator by 100000.

$$x=\frac{2233674}{-800600}$$

Reduce the fraction \frac{2233674}{-800600} to lowest terms by extracting and canceling out 8006.

$$x=-\frac{279}{100}$$