Solve (742*43+x*5)div(742+x)=45

$$(742 \times 43+x \times 5) \div (742+x)=45$$

Solve for x

$$x = -\frac{371}{10} = -37\frac{1}{10} = -37.1$$

Steps for Solving Linear Equation

Variable x cannot be equal to -742 since division by zero is not defined. Multiply both sides of the equation by x+742.

$$742\times 43+x\times 5=45\left(x+742\right)$$

Multiply 742 and 43 to get 31906.

$$31906+x\times 5=45\left(x+742\right)$$

Use the distributive property to multiply 45 by x+742.

$$31906+x\times 5=45x+33390$$

Subtract 45x from both sides.

$$31906+x\times 5-45x=33390$$

Combine x\times 5 and -45x to get -40x.

$$31906-40x=33390$$

Subtract 31906 from both sides.

$$-40x=33390-31906$$

Subtract 31906 from 33390 to get 1484.

$$-40x=1484$$

Divide both sides by -40.

$$x=\frac{1484}{-40}$$

Reduce the fraction \frac{1484}{-40} to lowest terms by extracting and canceling out 4.

$$x=-\frac{371}{10}$$