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

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

Solve for x

$$x = \frac{12}{11} = 1\frac{1}{11} \approx 1.090909091$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,2,4.

$$12x-4\left(3-x\right)=6\times 3x-3\left(8-3x\right)$$

Use the distributive property to multiply -4 by 3-x.

$$12x-12+4x=6\times 3x-3\left(8-3x\right)$$

Combine 12x and 4x to get 16x.

$$16x-12=6\times 3x-3\left(8-3x\right)$$

Multiply 6 and 3 to get 18.

$$16x-12=18x-3\left(8-3x\right)$$

Use the distributive property to multiply -3 by 8-3x.

$$16x-12=18x-24+9x$$

Combine 18x and 9x to get 27x.

$$16x-12=27x-24$$

Subtract 27x from both sides.

$$16x-12-27x=-24$$

Combine 16x and -27x to get -11x.

$$-11x-12=-24$$

Add 12 to both sides.

$$-11x=-24+12$$

Add -24 and 12 to get -12.

$$-11x=-12$$

Divide both sides by -11.

$$x=\frac{-12}{-11}$$

Fraction \frac{-12}{-11} can be simplified to \frac{12}{11} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{12}{11}$$