bwelsh2681 bwelsh2681
  • 16-11-2020
  • Mathematics
contestada

1. Solve for x. Show your solution and justify every step.

Equation. Justification
4(x - 3) + 5 = 17. Given​

Respuesta :

erinna erinna
  • 16-11-2020

Given:

The equation is

[tex]4(x-3)+5=17[/tex]

To find:

The solution of given equation.

Solution:

We have,

[tex]4(x-3)+5=17[/tex]

Using distributive property, we get

[tex]4(x)+4(-3)+5=17[/tex]

[tex]4x-12+5=17[/tex]

[tex]4x-7=17[/tex]

Adding 7 on both sides, we get

[tex]4x-7+7=17+7[/tex]

[tex]4x=24[/tex]

Divide both sides by 4.

[tex]x=\dfrac{24}{4}[/tex]

[tex]x=6[/tex]

Therefore, the value of x is 6.

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