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

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Answer 1 · 2018-04-06T03:23:12

$x = -7 8/9$ or about $-7.889$

Here's how I did it:

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

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

$4.3 * -3 = -12.9$

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

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

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

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

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

How do you solve 4.3(2x-3)+2.8=9.5x-34.3(2x-3)+2.8=9.5x-3?