Solve (742*4.3+x*5)div(742+x)=4.5

$$(742 \times 4.3+x \times 5) \div (742+x)=4.5$$

Solve for x

$$x=296.8$$

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.

$$742\times 4.3+x\times 5=4.5\left(x+742\right)$$

Multiply 742 and 4.3 to get 3190.6.

$$3190.6+x\times 5=4.5\left(x+742\right)$$

Use the distributive property to multiply 4.5 by x+742.

$$3190.6+x\times 5=4.5x+3339$$

Subtract 4.5x from both sides.

$$3190.6+x\times 5-4.5x=3339$$

Combine x\times 5 and -4.5x to get 0.5x.

$$3190.6+0.5x=3339$$

Subtract 3190.6 from both sides.

$$0.5x=3339-3190.6$$

Subtract 3190.6 from 3339 to get 148.4.

$$0.5x=148.4$$

Divide both sides by 0.5.

$$x=\frac{148.4}{0.5}$$

Expand \frac{148.4}{0.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{1484}{5}$$