# How do you solve 4.3(2x-3)+2.8=9.5x-3?

Apr 6, 2018

$x = - 7 \frac{8}{9}$ or about $- 7.889$

Here's how I did it:

#### Explanation:

$4.3 \left(2 x - 3\right) + 2.8 = 9.5 x - 3$

First, let's look at $4.3 \left(2 x - 3\right)$. To simplify, we "distribute" or multiply the $4.3$ with everything inside the parenthesis:
$4.3 \cdot 2 x = 8.6 x$

$4.3 \cdot - 3 = - 12.9$

Now let's put these back into the equation:
$8.6 x - 12.9 + 2.8 = 9.5 x - 3$

Now we combine like terms and simplify:
$8.6 x - 10.1 = 9.5 x - 3$

Add $10.1$ to both sides of the equation:
$8.6 x = 9.5 x + 7.1$

Subtract $9.5 x$ from both sides of the equation:
$- 0.9 x = 7.1$

Finally, divide both sides by $- 0.9$ to get the value of $x$:
$x = - 7 \frac{8}{9}$ or about $- 7.889$