# How do you solve 4( 2- 5x ) = 6- 3( 1- 3x )?

Jul 28, 2018

$x = \frac{5}{29}$

#### Explanation:

$4 \left(2 - 5 x\right) = 6 - 3 \left(1 - 3 x\right)$

Expand the brackets
$8 - 20 x = 6 - \left(3 - 9 x\right)$

$8 - 20 x = 6 - 3 + 9 x$

Simplify
$8 - 20 x = 3 + 9 x$

Move the $x$ onto one side
$29 x = 5$

Divide both sides by $29$
$x = \frac{5}{29}$

Jul 28, 2018

$x = \frac{5}{29}$

#### Explanation:

We can distribute the $4$ on the left side, and the $- 3$ on the right. Doing this, we now have

$8 - 20 x = 6 - 3 + 9 x$

We can combine like terms to get

$8 - 20 x = 3 + 9 x$

Let's get our constants on one side by subtracting $8$ from both sides:

$- 20 x = - 5 + 9 x$

Next, subtract $9 x$ from both sides to get

$- 29 x = - 5$

Lastly, we can divide both sides by $- 29$ to get

$x = \frac{5}{29}$

Hope this helps!