How do you solve $3 (x - 18) = 5 (x - 12)$ $3(x-18)=5(x-12)$ ?

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How do you solve $3 (x - 18) = 5 (x - 12)$ $3(x-18)=5(x-12)$ ?

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Answer 1 · 2018-03-25T12:05:10

$x = 3$ $x=3$

Explanation:

$3 (x - 18) = 5 (x - 12)$ $3(x-18)=5(x-12)$

Let's expand the equation by doing the multiplication
$3 x - 54 = 5 x - 60$ $3x-54=5x-60$

Now if we add to both sides $54$ $54$ , this number will be moved from the left to the right
$+ 54 + 3 x - 54 = 5 x - 60 + 54$ $color(red)(+54)+3x-54=5x-60color(red)(+54)$

$3 x = 5 x - 60 + 54$ $3x=5x-60+54$

Same thing can be applied with $5 x$ $5x$
$- 5 x + 3 x = 5 x - 60 + 54 - 5 x$ $color(red)(-5x)+3x=5x-60+54color(red)(-5x)$

$3 x - 5 x = - 60 + 54$ $3x-5x=-60+54$

And what we have to do now is just the sum of the similiar terms
$- 2 x = - 6$ $-2x=-6$

Multiplying both term by $- 1$ $-1$ , we gain an equation with positive $x$ $x$
$- 1 \cdot - 2 x = - 6 \cdot - 1$ $color(blue)(-1)*-2x=-6*color(blue)(-1)$

$2 x = 6$ $2x=6$

And to finally get the result we can divide both term by $2$ $2$
$\frac{2}{2} x = \frac{6}{2}$ $2/\color(blue)(2)x=6/color(blue)(2)$

x=3

To check whether the result it's right, just plug in the value in the initial equation. If the left and right quantity are the same we did a good job.

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How do you solve $3 (x - 18) = 5 (x - 12)$ $3(x-18)=5(x-12)$ ?

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How do you solve 3(x−18)=5(x−12)3(x-18)=5(x-12)?

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Explanation:

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How do you solve $3 (x - 18) = 5 (x - 12)$ $3(x-18)=5(x-12)$ ?