Solve 3*x/5-1=6*(x/20-1/15)

$$\frac { 3 \cdot x } { 5 } - 1 = 6 \cdot ( \frac { x } { 20 } - \frac { 1 } { 15 } )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 5,20,15.

$$12\times 3x-60=360\left(\frac{x}{20}-\frac{1}{15}\right)$$

Multiply 12 and 3 to get 36.

$$36x-60=360\left(\frac{x}{20}-\frac{1}{15}\right)$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 20 and 15 is 60. Multiply \frac{x}{20} times \frac{3}{3}. Multiply \frac{1}{15} times \frac{4}{4}.

$$36x-60=360\left(\frac{3x}{60}-\frac{4}{60}\right)$$

Since \frac{3x}{60} and \frac{4}{60} have the same denominator, subtract them by subtracting their numerators.

$$36x-60=360\times \frac{3x-4}{60}$$

Cancel out 60, the greatest common factor in 360 and 60.

$$36x-60=6\left(3x-4\right)$$

Use the distributive property to multiply 6 by 3x-4.

$$36x-60=18x-24$$

Subtract 18x from both sides.

$$36x-60-18x=-24$$

Combine 36x and -18x to get 18x.

$$18x-60=-24$$

Add 60 to both sides.

$$18x=-24+60$$

Add -24 and 60 to get 36.

$$18x=36$$

Divide both sides by 18.

$$x=\frac{36}{18}$$

Divide 36 by 18 to get 2.

$$x=2$$