Solve 112*5/12=x*5/12+25

$$112 \cdot \frac { 5 } { 12 } = x \cdot \frac { 5 } { 12 } + 25$$

Solve for x

$$x=52$$

Steps for Solving Linear Equation

Express 112\times \frac{5}{12} as a single fraction.

$$\frac{112\times 5}{12}=x\times \frac{5}{12}+25$$

Multiply 112 and 5 to get 560.

$$\frac{560}{12}=x\times \frac{5}{12}+25$$

Reduce the fraction \frac{560}{12} to lowest terms by extracting and canceling out 4.

$$\frac{140}{3}=x\times \frac{5}{12}+25$$

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

$$x\times \frac{5}{12}+25=\frac{140}{3}$$

Subtract 25 from both sides.

$$x\times \frac{5}{12}=\frac{140}{3}-25$$

Convert 25 to fraction \frac{75}{3}.

$$x\times \frac{5}{12}=\frac{140}{3}-\frac{75}{3}$$

Since \frac{140}{3} and \frac{75}{3} have the same denominator, subtract them by subtracting their numerators.

$$x\times \frac{5}{12}=\frac{140-75}{3}$$

Subtract 75 from 140 to get 65.

$$x\times \frac{5}{12}=\frac{65}{3}$$

Multiply both sides by \frac{12}{5}, the reciprocal of \frac{5}{12}.

$$x=\frac{65}{3}\times \frac{12}{5}$$

Multiply \frac{65}{3} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{65\times 12}{3\times 5}$$

Do the multiplications in the fraction \frac{65\times 12}{3\times 5}.

$$x=\frac{780}{15}$$

Divide 780 by 15 to get 52.

$$x=52$$