Solve 40+12+16*3/10=36.5/x

$$\frac{ 40+12+16 \cdot 3 }{ 10 } = \frac{ 36.5 }{ x }$$

Solve for x

$$x=3.65$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of 10,x.

$$x\left(40+12+16\times 3\right)=10\times 36.5$$

Add 40 and 12 to get 52.

$$x\left(52+16\times 3\right)=10\times 36.5$$

Multiply 16 and 3 to get 48.

$$x\left(52+48\right)=10\times 36.5$$

Add 52 and 48 to get 100.

$$x\times 100=10\times 36.5$$

Multiply 10 and 36.5 to get 365.

$$x\times 100=365$$

Divide both sides by 100.

$$x=\frac{365}{100}$$

Reduce the fraction \frac{365}{100} to lowest terms by extracting and canceling out 5.

$$x=\frac{73}{20}$$