Solve 2-(x-2)/3=x/4

Evaluate

2 - \frac{x - 2}{3} = \frac{x}{4}

Multiply both sides of the equation by LCD

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

Simplify the equation

More Steps

32 - 4 x = \frac{x}{4} \times 12

Simplify the equation

More Steps

32 - 4 x = 3 x

Move the variable to the left side

32 - 4 x - 3 x = 0

Subtract the terms

More Steps

32 - 7 x = 0

Move the constant to the right side

- 7 x = 0 - 32

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

- 7 x = - 32

Change the signs on both sides of the equation

7 x = 32

Divide both sides

\frac{7 x}{7} = \frac{32}{7}

Solution

x = \frac{32}{7}

Alternative Form

x = 4. \dot{5} 7142 \dot{8}

Solve the equation