Solve 1 - x /8 = 1/4(1-x/10)

Evaluate

1 - \frac{x}{8} = \frac{1}{4} (1 - \frac{x}{10})

Multiply the terms

More Steps

1 - \frac{x}{8} = \frac{1}{4} - \frac{x}{40}

Multiply both sides of the equation by LCD

(1 - \frac{x}{8}) \times 40 = (\frac{1}{4} - \frac{x}{40}) \times 40

Simplify the equation

More Steps

40 - 5 x = (\frac{1}{4} - \frac{x}{40}) \times 40

Simplify the equation

More Steps

40 - 5 x = 10 - x

Move the expression to the left side

40 - 5 x + x = 10

Move the expression to the right side

- 5 x + x = 10 - 40

Add and subtract

More Steps

- 4 x = 10 - 40

Add and subtract

- 4 x = - 30

Change the signs on both sides of the equation

4 x = 30

Divide both sides

\frac{4 x}{4} = \frac{30}{4}

Divide the numbers

x = \frac{30}{4}

Solution

x = \frac{15}{2}

Alternative Form

x = 7.5

Solve the equation