Solve x-1/3-x+2/6=4x/2

$$\frac{ x-1 }{ 3 } - \frac{ x+2 }{ 6 } = \frac{ 4x }{ 2 }$$

Solve for x

$$x=-\frac{4}{11}\approx -0.363636364$$

Steps for Solving Linear Equation

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

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

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

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

To find the opposite of x+2, find the opposite of each term.

$$2x-2-x-2=3\times 4x$$

Combine 2x and -x to get x.

$$x-2-2=3\times 4x$$

Subtract 2 from -2 to get -4.

$$x-4=3\times 4x$$

Multiply 3 and 4 to get 12.

$$x-4=12x$$

Subtract 12x from both sides.

$$x-4-12x=0$$

Combine x and -12x to get -11x.

$$-11x-4=0$$

Add 4 to both sides. Anything plus zero gives itself.

$$-11x=4$$

Divide both sides by -11.

$$x=\frac{4}{-11}$$

Fraction \frac{4}{-11} can be rewritten as -\frac{4}{11} by extracting the negative sign.

$$x=-\frac{4}{11}$$