# How do you solve 4.4x = 26.4?

Apr 18, 2018

$x = 6$

#### Explanation:

Since $x$ is being multiplied by $4.4$, we need to "undo" the multiplication in order to isolate $x$.

Multiplication is is undone by division, so divide both sides by $4.4$.

$\frac{4.4 x}{\textcolor{b l u e}{4.4}} = \frac{26.4}{\textcolor{b l u e}{4.4}}$

$x = 6$

Apr 18, 2018

If it is the decimals that are giving you a problem do this.

$x = 6$

#### Explanation:

Given: $4.4 x = 26.4$

Lets get rod of the decimals. Multiply both sides by 10 giving:

$44 x = 264$

Divide both sides by 44

$\frac{44}{44} \times x = \frac{264}{44}$

$x = \frac{264}{44}$
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An informed guess approach for the division using approximation.

Consider $\frac{260}{40}$

4xx5=20 <26 ?
4xx6=24 < 26?
$4 \times 7 = 28 > 26$ so no good

Test:
$44 \times 6 = 264 \leftarrow \text{ Spot on!}$

$x = \frac{264 \div 44}{44 \div 44} = \frac{6}{1} = 6$