Solve 3:5x+4=20:13x-3

$$3 : 5 x + 4 = 20 : 13 x - 3$$

Solve for x

$$x = \frac{455}{61} = 7\frac{28}{61} \approx 7.459016393$$

Steps for Solving Linear Equation

Subtract \frac{20}{13}x from both sides.

$$\frac{3}{5}x+4-\frac{20}{13}x=-3$$

Combine \frac{3}{5}x and -\frac{20}{13}x to get -\frac{61}{65}x.

$$-\frac{61}{65}x+4=-3$$

Subtract 4 from both sides.

$$-\frac{61}{65}x=-3-4$$

Subtract 4 from -3 to get -7.

$$-\frac{61}{65}x=-7$$

Multiply both sides by -\frac{65}{61}, the reciprocal of -\frac{61}{65}.

$$x=-7\left(-\frac{65}{61}\right)$$

Express -7\left(-\frac{65}{61}\right) as a single fraction.

$$x=\frac{-7\left(-65\right)}{61}$$

Multiply -7 and -65 to get 455.

$$x=\frac{455}{61}$$