Solve 3*56+4*16/x=3*56/66.5

$$\frac { 3 \times 56 + 4 \times 16 } { x } = \frac { 3 \times 56 } { 66.5 }$$

Solve for x

$$x = \frac{551}{6} = 91\frac{5}{6} \approx 91.833333333$$

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 x.

$$3\times 56+4\times 16=x\times \frac{3\times 56}{66.5}$$

Multiply 3 and 56 to get 168. Multiply 4 and 16 to get 64.

$$168+64=x\times \frac{3\times 56}{66.5}$$

Add 168 and 64 to get 232.

$$232=x\times \frac{3\times 56}{66.5}$$

Multiply 3 and 56 to get 168.

$$232=x\times \frac{168}{66.5}$$

Expand \frac{168}{66.5} by multiplying both numerator and the denominator by 10.

$$232=x\times \frac{1680}{665}$$

Reduce the fraction \frac{1680}{665} to lowest terms by extracting and canceling out 35.

$$232=x\times \frac{48}{19}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{48}{19}=232$$

Multiply both sides by \frac{19}{48}, the reciprocal of \frac{48}{19}.

$$x=232\times \frac{19}{48}$$

Express 232\times \frac{19}{48} as a single fraction.

$$x=\frac{232\times 19}{48}$$

Multiply 232 and 19 to get 4408.

$$x=\frac{4408}{48}$$

Reduce the fraction \frac{4408}{48} to lowest terms by extracting and canceling out 8.

$$x=\frac{551}{6}$$