Solve x/14+1/2=5/7+x-8/8

$$\frac { x } { 14 } + \frac { 1 } { 2 } = \frac { 5 } { 7 } + \frac { x - 8 } { 8 }$$

Solve for x

$$x = \frac{44}{3} = 14\frac{2}{3} \approx 14.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 56, the least common multiple of 14,2,7,8.

$$4x+28=40+7\left(x-8\right)$$

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

$$4x+28=40+7x-56$$

Subtract 56 from 40 to get -16.

$$4x+28=-16+7x$$

Subtract 7x from both sides.

$$4x+28-7x=-16$$

Combine 4x and -7x to get -3x.

$$-3x+28=-16$$

Subtract 28 from both sides.

$$-3x=-16-28$$

Subtract 28 from -16 to get -44.

$$-3x=-44$$

Divide both sides by -3.

$$x=\frac{-44}{-3}$$

Fraction \frac{-44}{-3} can be simplified to \frac{44}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{44}{3}$$