Solve -627.2(x-21.5)=1150(x-140)

$$-627.2(x-21.5)=1150(x-140)$$

Solve for x

$$x = \frac{145404}{1481} = 98\frac{266}{1481} \approx 98.179608373$$

Steps for Solving Linear Equation

Use the distributive property to multiply -627.2 by x-21.5.

$$-627.2x+13484.8=1150\left(x-140\right)$$

Use the distributive property to multiply 1150 by x-140.

$$-627.2x+13484.8=1150x-161000$$

Subtract 1150x from both sides.

$$-627.2x+13484.8-1150x=-161000$$

Combine -627.2x and -1150x to get -1777.2x.

$$-1777.2x+13484.8=-161000$$

Subtract 13484.8 from both sides.

$$-1777.2x=-161000-13484.8$$

Subtract 13484.8 from -161000 to get -174484.8.

$$-1777.2x=-174484.8$$

Divide both sides by -1777.2.

$$x=\frac{-174484.8}{-1777.2}$$

Expand \frac{-174484.8}{-1777.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-1744848}{-17772}$$

Reduce the fraction \frac{-1744848}{-17772} to lowest terms by extracting and canceling out -12.

$$x=\frac{145404}{1481}$$