Solve 3x-1/4-2x-1/5=10x-13/20

$$\frac{ 3x-1 }{ 4 } - \frac{ 2x-1 }{ 5 } = \frac{ 10x-13 }{ 20 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$5\left(3x-1\right)-4\left(2x-1\right)=10x-13$$

Use the distributive property to multiply 5 by 3x-1.

$$15x-5-4\left(2x-1\right)=10x-13$$

Use the distributive property to multiply -4 by 2x-1.

$$15x-5-8x+4=10x-13$$

Combine 15x and -8x to get 7x.

$$7x-5+4=10x-13$$

Add -5 and 4 to get -1.

$$7x-1=10x-13$$

Subtract 10x from both sides.

$$7x-1-10x=-13$$

Combine 7x and -10x to get -3x.

$$-3x-1=-13$$

Add 1 to both sides.

$$-3x=-13+1$$

Add -13 and 1 to get -12.

$$-3x=-12$$

Divide both sides by -3.

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

Divide -12 by -3 to get 4.

$$x=4$$