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

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

Solve for x

$$x = -\frac{53}{36} = -1\frac{17}{36} \approx -1.472222222$$

Steps for Solving Linear Equation

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

$$3\left(2x-3\right)-12x-60=6\times 5x-16$$

Use the distributive property to multiply 3 by 2x-3.

$$6x-9-12x-60=6\times 5x-16$$

Combine 6x and -12x to get -6x.

$$-6x-9-60=6\times 5x-16$$

Subtract 60 from -9 to get -69.

$$-6x-69=6\times 5x-16$$

Multiply 6 and 5 to get 30.

$$-6x-69=30x-16$$

Subtract 30x from both sides.

$$-6x-69-30x=-16$$

Combine -6x and -30x to get -36x.

$$-36x-69=-16$$

Add 69 to both sides.

$$-36x=-16+69$$

Add -16 and 69 to get 53.

$$-36x=53$$

Divide both sides by -36.

$$x=\frac{53}{-36}$$

Fraction \frac{53}{-36} can be rewritten as -\frac{53}{36} by extracting the negative sign.

$$x=-\frac{53}{36}$$