Solve x-1/4-2x-3/5=1/20

$$\frac { x - 1 } { 4 } - \frac { 2 x - 3 } { 5 } = \frac { 1 } { 20 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5,20.

$$5\left(x-1\right)-4\left(2x-3\right)=1$$

Use the distributive property to multiply 5 by x-1.

$$5x-5-4\left(2x-3\right)=1$$

Use the distributive property to multiply -4 by 2x-3.

$$5x-5-8x+12=1$$

Combine 5x and -8x to get -3x.

$$-3x-5+12=1$$

Add -5 and 12 to get 7.

$$-3x+7=1$$

Subtract 7 from both sides.

$$-3x=1-7$$

Subtract 7 from 1 to get -6.

$$-3x=-6$$

Divide both sides by -3.

$$x=\frac{-6}{-3}$$

Divide -6 by -3 to get 2.

$$x=2$$