# How do you solve for x: 7/12(x-3)=1/3x+4?

Jun 30, 2018

$x = 23$

#### Explanation:

Multiplying the given equation by $12$

$7 \left(x - 3\right) = \frac{12}{3} x + 48$

$7 \left(x - 3\right) = 4 x + 48$

since
$7 \left(x - 3\right) = 7 x - 21$

we get

$7 x - 21 = 4 x + 48$

Adding $21$

$7 x = 4 x + 69$

subtracting $4 x$

$3 x = 69$
so

$x = 23$

Jun 30, 2018

$x = 23$

#### Explanation:

Let's get rid of the fractions so we can just have a plain vanilla linear equation. We can multiply all terms by $12$. We get

$7 \left(x - 3\right) = 4 x + 48$

We can next distribute the $7$ to both terms in the parenthesis to get

$7 x - 21 = 4 x + 48$

Next, we can add $21$ to both sides to further isolate the $x$ terms. We will get

$7 x = 4 x + 69$

Subtracting $4 x$ from both sides gives us

$3 x = 69$

Lastly, we can divide both sides by $3$ to get

$x = 23$

Hope this helps!