Solve 18:5x+4=20:13x-3

$$18 : 5 x + 4 = 20 : 13 x - 3$$

Solve for x

$$x = -\frac{455}{134} = -3\frac{53}{134} \approx -3.395522388$$

Steps for Solving Linear Equation

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

$$\frac{18}{5}x+4-\frac{20}{13}x=-3$$

Combine \frac{18}{5}x and -\frac{20}{13}x to get \frac{134}{65}x.

$$\frac{134}{65}x+4=-3$$

Subtract 4 from both sides.

$$\frac{134}{65}x=-3-4$$

Subtract 4 from -3 to get -7.

$$\frac{134}{65}x=-7$$

Multiply both sides by \frac{65}{134}, the reciprocal of \frac{134}{65}.

$$x=-7\times \frac{65}{134}$$

Express -7\times \frac{65}{134} as a single fraction.

$$x=\frac{-7\times 65}{134}$$

Multiply -7 and 65 to get -455.

$$x=\frac{-455}{134}$$

Fraction \frac{-455}{134} can be rewritten as -\frac{455}{134} by extracting the negative sign.

$$x=-\frac{455}{134}$$