Solve 32/2x-5-3=1/4

$$\frac { 32 } { 2 x - 5 } - 3 = \frac { 1 } { 4 }$$

Solve for x

$$x = \frac{193}{26} = 7\frac{11}{26} \approx 7.423076923$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{5}{2} since division by zero is not defined. Multiply both sides of the equation by 4\left(2x-5\right), the least common multiple of 2x-5,4.

$$4\times 32+4\left(2x-5\right)\left(-3\right)=2x-5$$

Multiply 4 and 32 to get 128.

$$128+4\left(2x-5\right)\left(-3\right)=2x-5$$

Multiply 4 and -3 to get -12.

$$128-12\left(2x-5\right)=2x-5$$

Use the distributive property to multiply -12 by 2x-5.

$$128-24x+60=2x-5$$

Add 128 and 60 to get 188.

$$188-24x=2x-5$$

Subtract 2x from both sides.

$$188-24x-2x=-5$$

Combine -24x and -2x to get -26x.

$$188-26x=-5$$

Subtract 188 from both sides.

$$-26x=-5-188$$

Subtract 188 from -5 to get -193.

$$-26x=-193$$

Divide both sides by -26.

$$x=\frac{-193}{-26}$$

Fraction \frac{-193}{-26} can be simplified to \frac{193}{26} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{193}{26}$$