Solve 15x-5/12=12x+1/5

$$15 x - \frac { 5 } { 12 } = 12 x + \frac { 1 } { 5 }$$

Solve for x

$$x=\frac{37}{180}\approx 0.205555556$$

Steps for Solving Linear Equation

Subtract 12x from both sides.

$$15x-\frac{5}{12}-12x=\frac{1}{5}$$

Combine 15x and -12x to get 3x.

$$3x-\frac{5}{12}=\frac{1}{5}$$

Add \frac{5}{12} to both sides.

$$3x=\frac{1}{5}+\frac{5}{12}$$

Least common multiple of 5 and 12 is 60. Convert \frac{1}{5} and \frac{5}{12} to fractions with denominator 60.

$$3x=\frac{12}{60}+\frac{25}{60}$$

Since \frac{12}{60} and \frac{25}{60} have the same denominator, add them by adding their numerators.

$$3x=\frac{12+25}{60}$$

Add 12 and 25 to get 37.

$$3x=\frac{37}{60}$$

Divide both sides by 3.

$$x=\frac{\frac{37}{60}}{3}$$

Express \frac{\frac{37}{60}}{3} as a single fraction.

$$x=\frac{37}{60\times 3}$$

Multiply 60 and 3 to get 180.

$$x=\frac{37}{180}$$