# How do you solve 96= 3( 4x + 8)?

Mar 8, 2018

$x = 6$

#### Explanation:

$96 = 3 \left(4 x + 8\right)$

Step 1: Simplify both sides of the equation.

$96 = 3 \left(4 x + 8\right)$
$96 = \left(3\right) \left(4 x\right) + \left(3\right) \left(8\right) \text{ }$(Distribute)
$96 = 12 x + 24$

Step 2: Flip the equation.

$12 x + 24 = 96$

Step 3: Subtract $24$ from both sides.
12x+24−24=96−24
$12 x = 72$

Step 4: Divide both sides by $12$
$\frac{12 x}{12} = = \frac{72}{12}$

$x = 6$

Mar 8, 2018

$x = 6$

#### Explanation:

In order to solve the equation, you need to isolate the $x$ term.

Rather than removing the brackets by distributing the $3$ into the bracket, you can divide both sides by $3$.

$\frac{\cancel{3} \left(4 x + 8\right)}{\cancel{3}} = \frac{\cancel{96} 32}{\cancel{3}}$

$\text{ "4x+8 = 32" } \leftarrow$ subtract $8$ from each side.

$4 x + 8 \textcolor{b l u e}{- 8} = 32 \textcolor{b l u e}{- 8}$

$\text{ "4x = 24" } \leftarrow \div 4$

$\text{ } x = 6$