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

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

Solve for x

$$x = -\frac{53}{3} = -17\frac{2}{3} \approx -17.666666667$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 5 by x-9.

$$5x-45=8\left(x+1\right)$$

Use the distributive property to multiply 8 by x+1.

$$5x-45=8x+8$$

Subtract 8x from both sides.

$$5x-45-8x=8$$

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

$$-3x-45=8$$

Add 45 to both sides.

$$-3x=8+45$$

Add 8 and 45 to get 53.

$$-3x=53$$

Divide both sides by -3.

$$x=\frac{53}{-3}$$

Fraction \frac{53}{-3} can be rewritten as -\frac{53}{3} by extracting the negative sign.

$$x=-\frac{53}{3}$$