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

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

Solve for x

$$x = \frac{59}{27} = 2\frac{5}{27} \approx 2.185185185$$

Steps for Solving Linear Equation

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

$$8-3\left(x-5\right)=24x-36$$

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

$$8-3x+15=24x-36$$

Add 8 and 15 to get 23.

$$23-3x=24x-36$$

Subtract 24x from both sides.

$$23-3x-24x=-36$$

Combine -3x and -24x to get -27x.

$$23-27x=-36$$

Subtract 23 from both sides.

$$-27x=-36-23$$

Subtract 23 from -36 to get -59.

$$-27x=-59$$

Divide both sides by -27.

$$x=\frac{-59}{-27}$$

Fraction \frac{-59}{-27} can be simplified to \frac{59}{27} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{59}{27}$$