How do you solve $4 x - 2 = 2 x + 8$ $4x - 2 = 2x + 8$ ?

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How do you solve $4 x - 2 = 2 x + 8$ $4x - 2 = 2x + 8$ ?

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Answer 1 · 2016-10-22T08:43:17

$x = 5$ $x=5$

Explanation:

$4 x - 2 = 2 x + 8$ $color(blue)(4x)color(red)(-2)=color(blue)(2x)+color(red)8$

Bring like terms to one side:

$4 x - 2 x = 8 + 2$ $4x-2x=8+2$

$2 x = 10$ $2x=10$

Divide both sides by $2$ $2$ :

$x = 5$ $x=5$

Answer 2 · 2016-10-22T09:06:41

$x = 5$ $x = 5$

Explanation:

$4 x - 2 = 2 x + 8$ $4x - 2 = 2x + 8$

We eleminate 2x on the right by substracting 2x from each side.
Equivalently, we can add -2x to both sides.
$4 x - 2 - 2 x = 2 x - 2 x + 8$ $4x - 2 color(red)( -2x) = 2x color(red)(-2x) +8$

Simplify
$2 x - 2 = 8$ $2x -2 = 8$

Add 2 to each side.
$2 x - 2 + 2 = 8 + 2$ $2x-2 color(red)(+2 )= 8 color(red)(+2)$

$2 x = 10$ $2x = 10$

Multiply each side by 1/2
$2 x \times (\frac{1}{2}) = 10 \times \frac{1}{2}$ $2x color(red)(xx(1/2)) = 10 color(red)(xx 1/2$

$x = 5$ $x =5$

Check !

$4 x - 2 = 2 x + 8$ $4x - 2 = 2x + 8$ substitute x=5 into equation

$4 (5) - 2 = 2 (5) + 8$ $4(5) - 2 = 2(5) +8$
$20 - 2 = 10 + 8$ $20 - 2= 10 +8$
$18 = 18$ $18 = 18$

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How do you solve $4 x - 2 = 2 x + 8$ $4x - 2 = 2x + 8$ ?

2 Answers

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