1. ## linear equation

how do i solve a linear equation with fractions

2. Post an example and I'll solve it so you can follow the steps.

3. 1/3 (x+2)=1/5(3x+2)

4. $\frac{(x+2)}{3}=\frac{1}{5(3x+2)}$

Cross multipy

$3 = 5(x+2)(3x+2)$

then distribute

$3= (5x+10)(3x+2)$

$3 = 15x^2 +10x + 30x + 20$

Combine like terms

$3 = 15^2 + 40x +20$

Bring the 3 to other side

$0 = 15x^2 + 40x +17$

Now use quad formula to solve

5. Here another example

$\frac{x+2}{3} = \frac{3x+2}{5}$

cross multiply

$5(x+2)= 3(3x+2)$

distribute

$5x+10 = 9x +6$

combine like terms

$4= 4x$

solve for x

$x = 1$

6. thank you