How do you solve $6 x = 4 x - (- 18)$ $6x = 4x - ( - 18)$ ?

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How do you solve $6 x = 4 x - (- 18)$ $6x = 4x - ( - 18)$ ?

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Answer 1 · 2018-06-09T08:06:53

$x = 9$ $x=9$

Explanation:

Simplify first as follows:

$6 x = 4 x - (- 18)$ $6x=4x-(-18)$

$6 x = 4 x + 18$ $6x=4x+18$ -----> opening the bracket

$6 x - 4 x = 4 x - 4 x + 18$ $6x-4x=4x-4x+18$ -----> subtracting $4 x$ $4x$ both sides

$2 x = 18$ $2x=18$

$x = \frac{18}{2}$ $x=18/2$

$x = 9$ $x=9$

Checking the answer:

$6 (9) = 4 (9) - (- 18)$ $6(9) = 4(9) - (-18)$

$54 = 36 + 18$ $54 = 36+18$ ----> Correct!

Answer 2 · 2018-06-09T08:13:19

$x = 9$ $x=9$

Explanation:

$note that - (- 18) = + 18$ $"note that "-(-18)=+18$

$6 x = 4 x + 18$ $6x=4x+18$

$subtract 4 x from both sides$ $"subtract "4x" from both sides"$

$2 x = 18$ $2x=18$

$divide both sides by 2$ $"divide both sides by 2"$

$x = \frac{18}{2} = 9$ $x=18/2=9$

$As a check$ $color(blue)"As a check"$

Substitute this value into the equation and if both sides are equal then it is the solution.

$left side = 6 \times 9 = 54$ $"left side "=6xx9=54$

$right side = (4 \times 9) + 18 = 36 + 18 = 54$ $"right side "=(4xx9)+18=36+18=54$

$x = 9 is the solution$ $x=9" is the solution"$

Answer 3 · 2018-06-09T08:14:27

$x = 9$ $x = 9$

Explanation:

$6 x = 4 x - (- 18)$ $6x color(red)(=) 4x - (-18)$ | you start with this

$6 x = 4 x - (- 18)$ $6x color(red)(=) 4x - (-18)$ | you put the '4x' on the other side
$6 x - 4 x = - (- 18)$ $6x-4x color(red)(=) - ( -18)$
$2 x = - (- 18)$ $2x color(red)(=) - ( -18)$

$2 x = - (- 18)$ $2x color(red)(=) - ( -18)$ | -1 times -8
$2 x = - 1 (- 18)$ $2x color(red)(=) -1 (-18)$
$2 x = 18$ $2x color(red)(=) 18$

$2 x = 18$ $2x color(red)(=) 18$ | put the 2 to the other side
$x = \frac{18}{2}$ $x color(red)(=) 18/2$
$x = 9$ $x color(red)(=) 9$

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How do you solve $6 x = 4 x - (- 18)$ $6x = 4x - ( - 18)$ ?

3 Answers

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