Question #35e22

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Question #35e22

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Answer 1 · 2017-09-01T02:45:18

HI,
$13 - 4 x = 1 - x$ $13-4x=1-x$
$13 - 1 = (4 x) - x$ $13-1=(4x)-x$
note: '4x' changes its sign from negative to positive and also '1'
SO,
12=3x
$\frac{12}{3}$ $12/3$ =x
x=4

Answer 2 · 2017-09-01T02:54:42

$13 - 4 x = 1 - x$ $13 - 4x = 1 - x$
$13 - 4 x + (4 x) = 1 - x + (4 x)$ $13 - 4x + (4x) = 1 - x + (4x)$
$13 = 1 + 3 x$ $13 = 1 + 3x$
$1 + 3 x = 13$ $1 + 3x = 13$
$1 + 3 x - (1) = 13 - (1)$ $1 + 3x - (1) = 13 - (1)$
$3 x = 12$ $3x = 12$
$\frac{3 x}{3} = \frac{12}{3}$ $(3x)/ 3 = 12 / 3$
$x = 4$ $x = 4$

Explanation:

So you have

$13 - 4 x = 1 - x$ $13 - 4x = 1 - x$

Start by adding $4 x$ $4x$ to both sides of the equation so that all the $x$ $x$ terms are on the left side:

$13 - 4 x + (4 x) = 1 - x + (4 x)$ $13 - 4x + (4x) = 1 - x + (4x)$
$13 = 1 + 3 x$ $13 = 1 + 3x$
$1 + 3 x = 13$ $1 + 3x = 13$

Now we want to get the $x$ $x$ terms alone on the left side of the equation, so we subtract both sides by $1$ $1$

$1 + 3 x - (1) = 13 - (1)$ $1 + 3x - (1) = 13 - (1)$
$3 x = 12$ $3x = 12$

Now we want to solve for $x$ $x$ , so we divide both sides by $3$ $3$ to get $x$ $x$ alone on the left side.

$\frac{3 x}{3} = \frac{12}{3}$ $(3x)/ 3 = 12 / 3$
$x = 4$ $x = 4$

And there's your answer. You can plug it back into the original equation to check:

$13 - 4 (4) = 1 - (4)$ $13 - 4(4) = 1 - (4)$
$- 3 = - 3$ $-3 = -3$

That's true, so your answer is correct.

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Question #35e22

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