Solve 8-2x/3-2x-3/2=4

$$\frac { 8 - 2 x } { 3 } - \frac { 2 x - 3 } { 2 } = 4$$

Solve for x

$$x=\frac{1}{10}=0.1$$

Steps for Solving Linear Equation

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

$$2\left(8-2x\right)-3\left(2x-3\right)=24$$

Use the distributive property to multiply 2 by 8-2x.

$$16-4x-3\left(2x-3\right)=24$$

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

$$16-4x-6x+9=24$$

Combine -4x and -6x to get -10x.

$$16-10x+9=24$$

Add 16 and 9 to get 25.

$$25-10x=24$$

Subtract 25 from both sides.

$$-10x=24-25$$

Subtract 25 from 24 to get -1.

$$-10x=-1$$

Divide both sides by -10.

$$x=\frac{-1}{-10}$$

Fraction \frac{-1}{-10} can be simplified to \frac{1}{10} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{10}$$