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babymother [125]
2 years ago
14

Solve for x 2(x−1)=5(x−2) Give your answer as an improper fraction in its simplest form.

Mathematics
2 answers:
dolphi86 [110]2 years ago
5 0

Step-by-step explanation:

2(x-1)=5(x-2)

=2x-2=5x-10

=2x-5x= -10+2

= -3x= -8

=

\frac{8}{3}

babunello [35]2 years ago
3 0

Answer:

<h2>x \:  =  \:  \frac{8}{3}</h2>

Step-by-step explanation:

<h3><u>♤</u> <u>Given</u><u> </u><u>Question</u><u>:</u><u>-</u></h3>
  • To solve for x

<h3><u>♤</u> <u>Given</u><u> </u><u>E</u><u>quation</u><u>:</u><u>-</u></h3>
  • 2(x−1)=5(x−2)

<h3><u>♤</u> <u>Solution</u><u>:</u><u>-</u></h3>

2(x - 1) = 5(x - 2)

=> 2 × x - 2 × 1 = 5 × x - 5 × 2 <em>[</em><em>Distributive</em><em> </em><em>property</em><em>]</em>

=> 2x - 2 = 5x - 10 <em>[</em><em>Simplification</em><em>]</em><em> </em>

=> 5x - 2x = 10 - 2 <em>[</em><em>Bringing</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em><em>on</em><em> </em><em>one</em><em> </em><em>side</em><em>]</em>

=> 3x = 8 <em>[</em><em>Simplification</em><em>]</em>

=  > x = \frac{8}{3}(ans)

<em>[</em><em>In</em><em> </em><em>simplest</em><em> </em><em>form</em><em> </em><em>of</em><em> </em><em>improper</em><em> </em><em>fraction</em><em>]</em>

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