Solve (2x-3)/5 = (4-3x)/7

Evaluate

\frac{2 x - 3}{5} = \frac{4 - 3 x}{7}

Cross multiply

(2 x - 3) \times 7 = 5 (4 - 3 x)

Simplify the equation

7 (2 x - 3) = 5 (4 - 3 x)

Calculate

More Steps

14 x - 21 = 5 (4 - 3 x)

Calculate

More Steps

14 x - 21 = 20 - 15 x

Move the expression to the left side

14 x - 21 - (20 - 15 x) = 0

Calculate

More Steps

29 x - 41 = 0

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

29 x = 0 + 41

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

29 x = 41

Divide both sides

\frac{29 x}{29} = \frac{41}{29}

Solution

x = \frac{41}{29}

Alternative Form

x \approx 1.413793

Solve the equation