Solve x+2/15=x+1/5

$$\frac { x + 2 } { 15 } = \frac { x + 1 } { 5 }$$

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 15,5.

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

Use the distributive property to multiply 3 by x+1.

$$x+2=3x+3$$

Subtract 3x from both sides.

$$x+2-3x=3$$

Combine x and -3x to get -2x.

$$-2x+2=3$$

Subtract 2 from both sides.

$$-2x=3-2$$

Subtract 2 from 3 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.

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