Solve -6272(x-215)=1150(x-140)

$$-6272(x-215)=1150(x-140)$$

Solve for x

$$x = \frac{251580}{1237} = 203\frac{469}{1237} \approx 203.379143088$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6272 by x-215.

$$-6272x+1348480=1150\left(x-140\right)$$

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

$$-6272x+1348480=1150x-161000$$

Subtract 1150x from both sides.

$$-6272x+1348480-1150x=-161000$$

Combine -6272x and -1150x to get -7422x.

$$-7422x+1348480=-161000$$

Subtract 1348480 from both sides.

$$-7422x=-161000-1348480$$

Subtract 1348480 from -161000 to get -1509480.

$$-7422x=-1509480$$

Divide both sides by -7422.

$$x=\frac{-1509480}{-7422}$$

Reduce the fraction \frac{-1509480}{-7422} to lowest terms by extracting and canceling out -6.

$$x=\frac{251580}{1237}$$