kaseychurch68 kaseychurch68
  • 04-02-2020
  • Mathematics
contestada

which value of x is the equation 3(x + 2) + x = 2x + 16 true?

Respuesta :

calculista
calculista calculista
  • 11-02-2020

Answer:

x=5

Step-by-step explanation:

we have

[tex]3(x+2)+x=2x+16[/tex]

Solve for x

Distribute left side

[tex]3x+6+x=2x+16[/tex]

Combine like terms left side

[tex]4x+6=2x+16[/tex]

Group terms that contain the same variable

[tex]4x-2x=16-6\\2x=10\\x=5[/tex]

therefore

For x=5

The equation is true

Verify

substitute the value of x=5 in the original expression and evaluate

[tex]3(5+2)+5=2(5)+16[/tex]

[tex]3(7)+5=10+16[/tex]

[tex]26=26[/tex] ----> is true

Answer Link

Otras preguntas

In their colonies, the French practiced indirect rule, relying on native princes and local troops. True or False?
The U.S. congress is primarily responsible for ________________. a. the judicial process c. the nation’s laws b. executive decisions d. all of the abov
cuando estás muy cansado (a) por las mañanas , ? qué haces
an interesting fact about robert brown
janye says that 0.45 is equal to 4/10, is she correct? explain
Which type of economy for an organized, large society gives citizens the most freedom of choice? Traditional Mixed Command Market
Do you agree with the quote "the world would be a dull place without music"? can u please explain to me in at least 5 sentences why?
how many cups is 10 qt
When hydrocarbon fuels burn in a plentiful supply of air they undergo complete combustion, forming carbon dioxide and water vapour. If the air supply is limited
write a mixed number for p so that 3 1/4 x p is more than 3 1/4