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


Sagot :

Step-by-step explanation:

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

=2x-2=5x-10

=2x-5x= -10+2

= -3x= -8

=

[tex] \frac{8}{3} [/tex]

Answer:

[tex]x \: = \: \frac{8}{3} [/tex]

Step-by-step explanation:

Given Question:-

  • To solve for x

Given Equation:-

  • 2(x−1)=5(x−2)

Solution:-

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

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

=> 2x - 2 = 5x - 10 [Simplification]

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

=> 3x = 8 [Simplification]

[tex] = > x = \frac{8}{3}(ans) [/tex]

[In simplest form of improper fraction]