Solve -45x+(2-0.5)=1x+98

$$- 45 x + ( 2 - 0.5 ) = 1 x + 98$$

Solve for x

$$x = -\frac{193}{92} = -2\frac{9}{92} \approx -2.097826087$$

Steps for Solving Linear Equation

Subtract 0.5 from 2 to get 1.5.

$$-45x+1.5=1x+98$$

Subtract 1x from both sides.

$$-45x+1.5-x=98$$

Combine -45x and -x to get -46x.

$$-46x+1.5=98$$

Subtract 1.5 from both sides.

$$-46x=98-1.5$$

Subtract 1.5 from 98 to get 96.5.

$$-46x=96.5$$

Divide both sides by -46.

$$x=\frac{96.5}{-46}$$

Expand \frac{96.5}{-46} by multiplying both numerator and the denominator by 10.

$$x=\frac{965}{-460}$$

Reduce the fraction \frac{965}{-460} to lowest terms by extracting and canceling out 5.

$$x=-\frac{193}{92}$$