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How do you solve $0.8 (x - 8) = 6.4$ $0.8( x - 8) = 6.4$ ?

2 Answers

Mar 8, 2018

$x = 16$ $x=16$

Explanation:

Given
$XXX 0.8 (x - 8) = 6.4$ $color(white)("XXX")0.8(x-8)=6.4$

Multiply both sides by $10$ $10$
then divide both sides by $8$ $8$
(these steps could be combined as divide both sides by $0.8$ $0.8$ )
$XXX 8 (x - 8) = 64$ $color(white)("XXX")8(x-8)=64$
$XXX (x - 8) = 8$ $color(white)("XXX")(x-8)=8$

Add $8$ $8$ to both sides
$XXX x = 16$ $color(white)("XXX")x=16$

MG · Stefan V.

Mar 8, 2018

$x = 16$ $x = 16$

Explanation:

Firstly, expand out the bracket.

$0.8 (x - 8) = 6.4$ $0.8(x - 8) = 6.4$

$0.8 x - (0.8 \cdot 8) = 6.4$ $0.8x - (0.8 * 8) = 6.4$

$0.8 x - 6.4 = 6.4$ $0.8x - 6.4 = 6.4$

Next, add $6.4$ $6.4$ to both sides

$0.8 x - 6.4 + 6.4 = 6.4 + 6.4$ $0.8x - 6.4 + 6.4 = 6.4 + 6.4$

$0.8 x = 12.8$ $0.8x = 12.8$

Now, divide both sides by $0.8$ $0.8$

$\frac{0.8 x}{0.8} = (\frac{12.8}{0.8})$ $(0.8 x)/0.8 = (12.8/0.8)$

$x = 16$ $x = 16$

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