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

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

Solve for x

$$x=9$$

Steps for Solving Linear Equation

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

$$6\left(2x-1\right)-3\left(3x-5\right)=4x$$

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

$$12x-6-3\left(3x-5\right)=4x$$

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

$$12x-6-9x+15=4x$$

Combine 12x and -9x to get 3x.

$$3x-6+15=4x$$

Add -6 and 15 to get 9.

$$3x+9=4x$$

Subtract 4x from both sides.

$$3x+9-4x=0$$

Combine 3x and -4x to get -x.

$$-x+9=0$$

Subtract 9 from both sides. Anything subtracted from zero gives its negation.

$$-x=-9$$

Multiply both sides by -1.

$$x=9$$