Solve (x-1/4)-(1-2x/6)=(x 1/2)

Question

Solve the equation

x = \frac{3}{2}

Alternative Form

x = 1.5

Evaluate

(x - \frac{1}{4}) - (1 - (2 \times \frac{x}{6})) = x \times \frac{1}{2}

Simplify

More Steps

x - \frac{5}{4} + \frac{x}{3} = x \times \frac{1}{2}

Use the commutative property to reorder the terms

x - \frac{5}{4} + \frac{x}{3} = \frac{1}{2} x

Multiply both sides of the equation by LCD

(x - \frac{5}{4} + \frac{x}{3}) \times 12 = \frac{1}{2} x \times 12

Simplify the equation

More Steps

16 x - 15 = \frac{1}{2} x \times 12

Simplify the equation

More Steps

16 x - 15 = 6 x

Move the variable to the left side

16 x - 15 - 6 x = 0

Subtract the terms

More Steps

10 x - 15 = 0

Move the constant to the right side

10 x = 0 + 15

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

10 x = 15

Divide both sides

\frac{10 x}{10} = \frac{15}{10}

Divide the numbers

x = \frac{15}{10}

Solution

x = \frac{3}{2}

Alternative Form

x = 1.5

Show Solution

2 x = 3

Show Solution