Solve 42/4.6=96/x

$$\frac{ 42 }{ 4.6 } = \frac{ 96 }{ x }$$

Solve for x

$$x = \frac{368}{35} = 10\frac{18}{35} \approx 10.514285714$$

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.

$$x\times \frac{42}{4.6}=96$$

Expand \frac{42}{4.6} by multiplying both numerator and the denominator by 10.

$$x\times \frac{420}{46}=96$$

Reduce the fraction \frac{420}{46} to lowest terms by extracting and canceling out 2.

$$x\times \frac{210}{23}=96$$

Multiply both sides by \frac{23}{210}, the reciprocal of \frac{210}{23}.

$$x=96\times \frac{23}{210}$$

Express 96\times \frac{23}{210} as a single fraction.

$$x=\frac{96\times 23}{210}$$

Multiply 96 and 23 to get 2208.

$$x=\frac{2208}{210}$$

Reduce the fraction \frac{2208}{210} to lowest terms by extracting and canceling out 6.

$$x=\frac{368}{35}$$