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

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

Solve for x

$$x = -\frac{26}{3} = -8\frac{2}{3} \approx -8.666666667$$

Steps for Solving Linear Equation

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

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

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

$$4x+8=x-18$$

Subtract x from both sides.

$$4x+8-x=-18$$

Combine 4x and -x to get 3x.

$$3x+8=-18$$

Subtract 8 from both sides.

$$3x=-18-8$$

Subtract 8 from -18 to get -26.

$$3x=-26$$

Divide both sides by 3.

$$x=\frac{-26}{3}$$

Fraction \frac{-26}{3} can be rewritten as -\frac{26}{3} by extracting the negative sign.

$$x=-\frac{26}{3}$$