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

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

Solve for x

$$x = \frac{17}{5} = 3\frac{2}{5} = 3.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

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

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

$$9-3x=2\left(x-4\right)$$

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

$$9-3x=2x-8$$

Subtract 2x from both sides.

$$9-3x-2x=-8$$

Combine -3x and -2x to get -5x.

$$9-5x=-8$$

Subtract 9 from both sides.

$$-5x=-8-9$$

Subtract 9 from -8 to get -17.

$$-5x=-17$$

Divide both sides by -5.

$$x=\frac{-17}{-5}$$

Fraction \frac{-17}{-5} can be simplified to \frac{17}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{17}{5}$$