Solve 3.2=0.5*(4.76-x)

$$3.2=0.5 \times (4.76-x)$$

Solve for x

$$x=-1.64$$

Steps for Solving Linear Equation

Divide both sides by 0.5.

$$\frac{3.2}{0.5}=4.76-x$$

Expand \frac{3.2}{0.5} by multiplying both numerator and the denominator by 10.

$$\frac{32}{5}=4.76-x$$

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

$$4.76-x=\frac{32}{5}$$

Subtract 4.76 from both sides.

$$-x=\frac{32}{5}-4.76$$

Convert decimal number 4.76 to fraction \frac{476}{100}. Reduce the fraction \frac{476}{100} to lowest terms by extracting and canceling out 4.

$$-x=\frac{32}{5}-\frac{119}{25}$$

Least common multiple of 5 and 25 is 25. Convert \frac{32}{5} and \frac{119}{25} to fractions with denominator 25.

$$-x=\frac{160}{25}-\frac{119}{25}$$

Since \frac{160}{25} and \frac{119}{25} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{160-119}{25}$$

Subtract 119 from 160 to get 41.

$$-x=\frac{41}{25}$$

Multiply both sides by -1.

$$x=-\frac{41}{25}$$