Solve 3-x-4/2=-4x+1/3-x

$$3 - \frac { x - 4 } { 2 } = \frac { - 4 x + 1 } { 3 } - x$$

Solve for x

$$x = -\frac{28}{11} = -2\frac{6}{11} \approx -2.545454545$$

Steps for Solving Linear Equation

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

$$18-3\left(x-4\right)=2\left(-4x+1\right)-6x$$

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

$$18-3x+12=2\left(-4x+1\right)-6x$$

Add 18 and 12 to get 30.

$$30-3x=2\left(-4x+1\right)-6x$$

Use the distributive property to multiply 2 by -4x+1.

$$30-3x=-8x+2-6x$$

Combine -8x and -6x to get -14x.

$$30-3x=-14x+2$$

Add 14x to both sides.

$$30-3x+14x=2$$

Combine -3x and 14x to get 11x.

$$30+11x=2$$

Subtract 30 from both sides.

$$11x=2-30$$

Subtract 30 from 2 to get -28.

$$11x=-28$$

Divide both sides by 11.

$$x=\frac{-28}{11}$$

Fraction \frac{-28}{11} can be rewritten as -\frac{28}{11} by extracting the negative sign.

$$x=-\frac{28}{11}$$