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

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

Solve for x

$$x=-13$$

Steps for Solving Linear Equation

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

$$4\left(2x-1\right)=3\left(3x-5\right)+24$$

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

$$8x-4=3\left(3x-5\right)+24$$

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

$$8x-4=9x-15+24$$

Add -15 and 24 to get 9.

$$8x-4=9x+9$$

Subtract 9x from both sides.

$$8x-4-9x=9$$

Combine 8x and -9x to get -x.

$$-x-4=9$$

Add 4 to both sides.

$$-x=9+4$$

Add 9 and 4 to get 13.

$$-x=13$$

Multiply both sides by -1.

$$x=-13$$