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

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

Solve for x

$$x = \frac{118}{41} = 2\frac{36}{41} \approx 2.87804878$$

Steps for Solving Linear Equation

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

$$12x-3\times \frac{2-3x}{2}-4\left(8-x\right)=24$$

Express -3\times \frac{2-3x}{2} as a single fraction.

$$12x+\frac{-3\left(2-3x\right)}{2}-4\left(8-x\right)=24$$

Use the distributive property to multiply -4 by 8-x.

$$12x+\frac{-3\left(2-3x\right)}{2}-32+4x=24$$

Combine 12x and 4x to get 16x.

$$16x+\frac{-3\left(2-3x\right)}{2}-32=24$$

Add 32 to both sides.

$$16x+\frac{-3\left(2-3x\right)}{2}=24+32$$

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

$$16x+\frac{-6+9x}{2}=24+32$$

Divide each term of -6+9x by 2 to get -3+\frac{9}{2}x.

$$16x-3+\frac{9}{2}x=24+32$$

Combine 16x and \frac{9}{2}x to get \frac{41}{2}x.

$$\frac{41}{2}x-3=24+32$$

Add 24 and 32 to get 56.

$$\frac{41}{2}x-3=56$$

Add 3 to both sides.

$$\frac{41}{2}x=56+3$$

Add 56 and 3 to get 59.

$$\frac{41}{2}x=59$$

Multiply both sides by \frac{2}{41}, the reciprocal of \frac{41}{2}.

$$x=59\times \frac{2}{41}$$

Express 59\times \frac{2}{41} as a single fraction.

$$x=\frac{59\times 2}{41}$$

Multiply 59 and 2 to get 118.

$$x=\frac{118}{41}$$