Solve (3x - 4)/2 = (x + 6)/3 - Socratic AI (ScanMath)

Evaluate

\frac{3 x - 4}{2} = \frac{x + 6}{3}

Cross multiply

(3 x - 4) \times 3 = 2 (x + 6)

Simplify the equation

3 (3 x - 4) = 2 (x + 6)

Calculate

More Steps

9 x - 12 = 2 (x + 6)

Calculate

More Steps

9 x - 12 = 2 x + 12

Move the expression to the left side

9 x - 12 - (2 x + 12) = 0

Calculate

More Steps

7 x - 24 = 0

Move the constant to the right-hand side and change its sign

7 x = 0 + 24

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

7 x = 24

Divide both sides

\frac{7 x}{7} = \frac{24}{7}

Solution

x = \frac{24}{7}

Alternative Form

x = 3. \dot{4} 2857 \dot{1}

(3x 4)/2 = (x + 6)/3