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

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

Solve for x

$$x = \frac{25}{11} = 2\frac{3}{11} \approx 2.272727273$$

Steps for Solving Linear Equation

Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 4\left(x-3\right), the least common multiple of 3-x,4.

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

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

$$-8x+16=3\left(x-3\right)$$

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

$$-8x+16=3x-9$$

Subtract 3x from both sides.

$$-8x+16-3x=-9$$

Combine -8x and -3x to get -11x.

$$-11x+16=-9$$

Subtract 16 from both sides.

$$-11x=-9-16$$

Subtract 16 from -9 to get -25.

$$-11x=-25$$

Divide both sides by -11.

$$x=\frac{-25}{-11}$$

Fraction \frac{-25}{-11} can be simplified to \frac{25}{11} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{25}{11}$$