Solve 4.2/4.6=88+54/x

$$\frac{ 4.2 }{ 4.6 } = \frac{ 88+54 }{ x }$$

Solve for x

$$x = \frac{3266}{21} = 155\frac{11}{21} \approx 155.523809524$$

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.

$$x\times \frac{4.2}{4.6}=88+54$$

Expand \frac{4.2}{4.6} by multiplying both numerator and the denominator by 10.

$$x\times \frac{42}{46}=88+54$$

Reduce the fraction \frac{42}{46} to lowest terms by extracting and canceling out 2.

$$x\times \frac{21}{23}=88+54$$

Add 88 and 54 to get 142.

$$x\times \frac{21}{23}=142$$

Multiply both sides by \frac{23}{21}, the reciprocal of \frac{21}{23}.

$$x=142\times \frac{23}{21}$$

Express 142\times \frac{23}{21} as a single fraction.

$$x=\frac{142\times 23}{21}$$

Multiply 142 and 23 to get 3266.

$$x=\frac{3266}{21}$$