Solve 5- (x 7)/8 = x/3

Evaluate

5 - \frac{x \times 7}{8} = \frac{x}{3}

Use the commutative property to reorder the terms

5 - \frac{7 x}{8} = \frac{x}{3}

Multiply both sides of the equation by LCD

(5 - \frac{7 x}{8}) \times 24 = \frac{x}{3} \times 24

Simplify the equation

More Steps

120 - 21 x = \frac{x}{3} \times 24

Simplify the equation

More Steps

120 - 21 x = 8 x

Move the variable to the left side

120 - 21 x - 8 x = 0

Subtract the terms

More Steps

120 - 29 x = 0

Move the constant to the right side

- 29 x = 0 - 120

Removing 0 doesn't change the value,so remove it from the expression

- 29 x = - 120

Change the signs on both sides of the equation

29 x = 120

Divide both sides

\frac{29 x}{29} = \frac{120}{29}

Solution

x = \frac{120}{29}

Alternative Form

x \approx 4.137931

Solve the equation