koolkoala77 koolkoala77
  • 09-10-2020
  • Mathematics
contestada

Solve for x: 3(x + 1) = −2(x − 1) + 6

Respuesta :

Stephen46
Stephen46 Stephen46
  • 09-10-2020

Answer:

x = 1

Step-by-step explanation:

[tex]3(x + 1) = −2(x − 1) + 6[/tex]

Expand the terms in the bracket and simplify

That's

[tex]3x + 3 = - 2x + 2 + 6 \\ 3x + 3 = - 2x + 8[/tex]

Add 2x to both sides of the equation

[tex]3x + 2x + 3 = 2x - 2x + 8 \\ 5x + 3 = 8[/tex]

Subtract 3 from both sides of the equation

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

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{5}{5} \\ [/tex]

We have the final answer as

x = 1

Hope this helps you

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