Solve x-9/8=x+7/3

$$\frac { x - 9 } { 8 } = \frac { x + 7 } { 3 }$$

Solve for x

$$x = -\frac{83}{5} = -16\frac{3}{5} = -16.6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,3.

$$3\left(x-9\right)=8\left(x+7\right)$$

Use the distributive property to multiply 3 by x-9.

$$3x-27=8\left(x+7\right)$$

Use the distributive property to multiply 8 by x+7.

$$3x-27=8x+56$$

Subtract 8x from both sides.

$$3x-27-8x=56$$

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

$$-5x-27=56$$

Add 27 to both sides.

$$-5x=56+27$$

Add 56 and 27 to get 83.

$$-5x=83$$

Divide both sides by -5.

$$x=\frac{83}{-5}$$

Fraction \frac{83}{-5} can be rewritten as -\frac{83}{5} by extracting the negative sign.

$$x=-\frac{83}{5}$$