How do you solve 4x + 3x - 6= 8?

Sep 15, 2017

See a solution process below:

Explanation:

First, combine like terms on the left side of the equation:

$\left(4 + 3\right) x - 6 = 8$

$7 x - 6 = 8$

Next, add $\textcolor{red}{6}$ to each side of the equation to isolate the $x$ term while keeping the equation balanced:

$7 x - 6 + \textcolor{red}{6} = 8 + \textcolor{red}{6}$

$7 x - 0 = 14$

$7 x = 14$

Now, divide each side of the equation by $\textcolor{red}{7}$ to solve for $x$ while keeping the equation balanced:

$\frac{7 x}{\textcolor{red}{7}} = \frac{14}{\textcolor{red}{7}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{7}}} x}{\cancel{\textcolor{red}{7}}} = 2$

$x = 2$

Sep 15, 2017

$x$ = $2$

Explanation:

First, you combine the like terms. In this case, that is the 3x and 4x.

$4 x + 3 x - 6 =$8#

$3 x + 4 x = 7 x$

Then substitute it back into the equation:

$7 x - 6 = 8$

Then you can subtract the $- 6$ from the left side of the equation.

$7 x = 8 + 6$
$7 x = 14$

And finally, simplify by dividing both sides by 7:
$x = 2$

Hope this helps!