Solve x+1/8=x+9/5

$$\frac { x + 1 } { 8 } = \frac { x + 9 } { 5 }$$

Solve for x

$$x = -\frac{67}{3} = -22\frac{1}{3} \approx -22.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 8,5.

$$5\left(x+1\right)=8\left(x+9\right)$$

Use the distributive property to multiply 5 by x+1.

$$5x+5=8\left(x+9\right)$$

Use the distributive property to multiply 8 by x+9.

$$5x+5=8x+72$$

Subtract 8x from both sides.

$$5x+5-8x=72$$

Combine 5x and -8x to get -3x.

$$-3x+5=72$$

Subtract 5 from both sides.

$$-3x=72-5$$

Subtract 5 from 72 to get 67.

$$-3x=67$$

Divide both sides by -3.

$$x=\frac{67}{-3}$$

Fraction \frac{67}{-3} can be rewritten as -\frac{67}{3} by extracting the negative sign.

$$x=-\frac{67}{3}$$