Solve 5/12-x-3/6=1

$$\frac { 5 } { 12 } - \frac { x - 3 } { 6 } = 1$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 12,6.

$$5-2\left(x-3\right)=12$$

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

$$5-2x+6=12$$

Add 5 and 6 to get 11.

$$11-2x=12$$

Subtract 11 from both sides.

$$-2x=12-11$$

Subtract 11 from 12 to get 1.

$$-2x=1$$

Divide both sides by -2.

$$x=\frac{1}{-2}$$

Fraction \frac{1}{-2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$x=-\frac{1}{2}$$