Solve 13x-36=4/5x+2

$$13 x - 36 = \frac { 4 } { 5 } x + 2$$

Solve for x

$$x = \frac{190}{61} = 3\frac{7}{61} \approx 3.114754098$$

Steps for Solving Linear Equation

Subtract \frac{4}{5}x from both sides.

$$13x-36-\frac{4}{5}x=2$$

Combine 13x and -\frac{4}{5}x to get \frac{61}{5}x.

$$\frac{61}{5}x-36=2$$

Add 36 to both sides.

$$\frac{61}{5}x=2+36$$

Add 2 and 36 to get 38.

$$\frac{61}{5}x=38$$

Multiply both sides by \frac{5}{61}, the reciprocal of \frac{61}{5}.

$$x=38\times \frac{5}{61}$$

Express 38\times \frac{5}{61} as a single fraction.

$$x=\frac{38\times 5}{61}$$

Multiply 38 and 5 to get 190.

$$x=\frac{190}{61}$$