Solve 5*587-5*500/5*750-5*587=x-6992/7830-x

$$\frac { 5 \cdot 587 - 5 \cdot 500 } { 5 \cdot 750 - 5 \cdot 587 } = \frac { x - 6992 } { 7830 - x }$$

Solve for x

$$x = \frac{910453}{125} = 7283\frac{78}{125} = 7283.624$$

Steps for Solving Linear Equation

Variable x cannot be equal to 7830 since division by zero is not defined. Multiply both sides of the equation by -x+7830.

$$\left(-\frac{1}{815}x+\frac{1566}{163}\right)\left(5\times 587-5\times 500\right)=x-6992$$

Multiply 5 and 587 to get 2935.

$$\left(-\frac{1}{815}x+\frac{1566}{163}\right)\left(2935-5\times 500\right)=x-6992$$

Multiply 5 and 500 to get 2500.

$$\left(-\frac{1}{815}x+\frac{1566}{163}\right)\left(2935-2500\right)=x-6992$$

Subtract 2500 from 2935 to get 435.

$$\left(-\frac{1}{815}x+\frac{1566}{163}\right)\times 435=x-6992$$

Use the distributive property to multiply -\frac{1}{815}x+\frac{1566}{163} by 435.

$$-\frac{87}{163}x+\frac{681210}{163}=x-6992$$

Subtract x from both sides.

$$-\frac{87}{163}x+\frac{681210}{163}-x=-6992$$

Combine -\frac{87}{163}x and -x to get -\frac{250}{163}x.

$$-\frac{250}{163}x+\frac{681210}{163}=-6992$$

Subtract \frac{681210}{163} from both sides.

$$-\frac{250}{163}x=-6992-\frac{681210}{163}$$

Subtract \frac{681210}{163} from -6992 to get -\frac{1820906}{163}.

$$-\frac{250}{163}x=-\frac{1820906}{163}$$

Multiply both sides by -\frac{163}{250}, the reciprocal of -\frac{250}{163}.

$$x=-\frac{1820906}{163}\left(-\frac{163}{250}\right)$$

Multiply -\frac{1820906}{163} and -\frac{163}{250} to get \frac{910453}{125}.

$$x=\frac{910453}{125}$$