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

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

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

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

$$5\left(2x-1\right)+4\left(x-1\right)=40$$

Use the distributive property to multiply 5 by 2x-1.

$$10x-5+4\left(x-1\right)=40$$

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

$$10x-5+4x-4=40$$

Combine 10x and 4x to get 14x.

$$14x-5-4=40$$

Subtract 4 from -5 to get -9.

$$14x-9=40$$

Add 9 to both sides.

$$14x=40+9$$

Add 40 and 9 to get 49.

$$14x=49$$

Divide both sides by 14.

$$x=\frac{49}{14}$$

Reduce the fraction \frac{49}{14} to lowest terms by extracting and canceling out 7.

$$x=\frac{7}{2}$$