Respuesta :

olasunkanmi74

Step-by-step explanation:

5(x - 3) = 3 + 5x + 3x

5x - 15 = 3 + 8x

5x - 8x = 3 + 15

-3x = 18

x = 18/-3

x = -6

akposevictor

The number in the given word problem is -6.

  • Word problem involves word phrases that can be translated into algebraic equations.

  • In the given word problem, to find the unknown number, let's translate the statements to algebraic equation.

Thus:

  • Let,

unknown number = x

Therefore:

  • Difference of the number and 3 = (x - 3)

  • 5 times (x - 3) = [tex]5 \times (x -3)[/tex]

  • 5 times the number = 5x

  • 3 times the number = 3x

  • 3 increased by (5x + 3x) = [tex]3 + (5x + 3x)[/tex]

  • The equation would be:

[tex]5 \times (x - 3) = 3 + (5x + 3x)[/tex]

  • Solve for x

[tex]5x - 15 = 3 + 8x[/tex]

  • Collect like terms

[tex]5x - 8x= 3 + 15\\\\-3x = 18\\\\[/tex]

  • Divide both sides by -3

[tex]x = -6[/tex]

Therefore, the value of the number is -6.

Learn more here:

https://brainly.com/question/16241419

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