Solve 5-x/2+x-5/8=5

$$\frac{ 5-x }{ 2 } + \frac{ x-5 }{ 8 } =5$$

Solve for x

$$x = -\frac{25}{3} = -8\frac{1}{3} \approx -8.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 2,8.

$$4\left(5-x\right)+x-5=40$$

Use the distributive property to multiply 4 by 5-x.

$$20-4x+x-5=40$$

Combine -4x and x to get -3x.

$$20-3x-5=40$$

Subtract 5 from 20 to get 15.

$$15-3x=40$$

Subtract 15 from both sides.

$$-3x=40-15$$

Subtract 15 from 40 to get 25.

$$-3x=25$$

Divide both sides by -3.

$$x=\frac{25}{-3}$$

Fraction \frac{25}{-3} can be rewritten as -\frac{25}{3} by extracting the negative sign.

$$x=-\frac{25}{3}$$