Solve (x-55)div23.8*10+50=60

$$(x-55) \div 23.8 \times 10+50=60$$

Solve for x

$$x=78.8$$

Steps for Solving Linear Equation

Divide each term of x-55 by 23.8 to get \frac{x}{23.8}+\frac{-55}{23.8}.

$$\left(\frac{x}{23.8}+\frac{-55}{23.8}\right)\times 10+50=60$$

Expand \frac{-55}{23.8} by multiplying both numerator and the denominator by 10.

$$\left(\frac{x}{23.8}+\frac{-550}{238}\right)\times 10+50=60$$

Reduce the fraction \frac{-550}{238} to lowest terms by extracting and canceling out 2.

$$\left(\frac{x}{23.8}-\frac{275}{119}\right)\times 10+50=60$$

Use the distributive property to multiply \frac{x}{23.8}-\frac{275}{119} by 10.

$$10\times \frac{x}{23.8}-\frac{275}{119}\times 10+50=60$$

Express -\frac{275}{119}\times 10 as a single fraction.

$$10\times \frac{x}{23.8}+\frac{-275\times 10}{119}+50=60$$

Multiply -275 and 10 to get -2750.

$$10\times \frac{x}{23.8}+\frac{-2750}{119}+50=60$$

Fraction \frac{-2750}{119} can be rewritten as -\frac{2750}{119} by extracting the negative sign.

$$10\times \frac{x}{23.8}-\frac{2750}{119}+50=60$$

Convert 50 to fraction \frac{5950}{119}.

$$10\times \frac{x}{23.8}-\frac{2750}{119}+\frac{5950}{119}=60$$

Since -\frac{2750}{119} and \frac{5950}{119} have the same denominator, add them by adding their numerators.

$$10\times \frac{x}{23.8}+\frac{-2750+5950}{119}=60$$

Add -2750 and 5950 to get 3200.

$$10\times \frac{x}{23.8}+\frac{3200}{119}=60$$

Subtract \frac{3200}{119} from both sides.

$$10\times \frac{x}{23.8}=60-\frac{3200}{119}$$

Convert 60 to fraction \frac{7140}{119}.

$$10\times \frac{x}{23.8}=\frac{7140}{119}-\frac{3200}{119}$$

Since \frac{7140}{119} and \frac{3200}{119} have the same denominator, subtract them by subtracting their numerators.

$$10\times \frac{x}{23.8}=\frac{7140-3200}{119}$$

Subtract 3200 from 7140 to get 3940.

$$10\times \frac{x}{23.8}=\frac{3940}{119}$$

Divide both sides by 10.

$$\frac{x}{23.8}=\frac{\frac{3940}{119}}{10}$$

Express \frac{\frac{3940}{119}}{10} as a single fraction.

$$\frac{x}{23.8}=\frac{3940}{119\times 10}$$

Multiply 119 and 10 to get 1190.

$$\frac{x}{23.8}=\frac{3940}{1190}$$

Reduce the fraction \frac{3940}{1190} to lowest terms by extracting and canceling out 10.

$$\frac{x}{23.8}=\frac{394}{119}$$

Multiply both sides by 23.8.

$$x=\frac{394}{119}\times 23.8$$

Convert decimal number 23.8 to fraction \frac{238}{10}. Reduce the fraction \frac{238}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{394}{119}\times \frac{119}{5}$$

Multiply \frac{394}{119} times \frac{119}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{394\times 119}{119\times 5}$$

Cancel out 119 in both numerator and denominator.

$$x=\frac{394}{5}$$