Solve x-1/5-x-2/3=1/4

$$\frac { x - 1 } { 5 } - \frac { x - 2 } { 3 } = \frac { 1 } { 4 }$$

Solve for x

$$x = \frac{13}{8} = 1\frac{5}{8} = 1.625$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 5,3,4.

$$12\left(x-1\right)-20\left(x-2\right)=15$$

Use the distributive property to multiply 12 by x-1.

$$12x-12-20\left(x-2\right)=15$$

Use the distributive property to multiply -20 by x-2.

$$12x-12-20x+40=15$$

Combine 12x and -20x to get -8x.

$$-8x-12+40=15$$

Add -12 and 40 to get 28.

$$-8x+28=15$$

Subtract 28 from both sides.

$$-8x=15-28$$

Subtract 28 from 15 to get -13.

$$-8x=-13$$

Divide both sides by -8.

$$x=\frac{-13}{-8}$$

Fraction \frac{-13}{-8} can be simplified to \frac{13}{8} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{13}{8}$$