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

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

Solve for x

$$x=\frac{1}{8}=0.125$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 2,3,4.

$$6\left(2x-1\right)-4\left(x-5\right)=15$$

Use the distributive property to multiply 6 by 2x-1.

$$12x-6-4\left(x-5\right)=15$$

Use the distributive property to multiply -4 by x-5.

$$12x-6-4x+20=15$$

Combine 12x and -4x to get 8x.

$$8x-6+20=15$$

Add -6 and 20 to get 14.

$$8x+14=15$$

Subtract 14 from both sides.

$$8x=15-14$$

Subtract 14 from 15 to get 1.

$$8x=1$$

Divide both sides by 8.

$$x=\frac{1}{8}$$