Question

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

Answer 1

Step-by-step explanation:

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

=2x-2=5x-10

=2x-5x= -10+2

= -3x= -8

=

$\frac{8}{3}$

Answer 2

Answer:

$x \: = \: \frac{8}{3}$

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]

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

[In simplest form of improper fraction]