gonzalezeric933 gonzalezeric933
  • 11-09-2020
  • Mathematics
contestada

If 2x-3y+5-(x-3y)=11-2x, what is the value of x?

Respuesta :

Estellia
Estellia Estellia
  • 11-09-2020

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]2x-3y+5-\left(x-3y\right)=11-2x[/tex]

Remove brackets and flip the sign in the brackets:

[tex]2x-3y+5-x+3y=11-2x[/tex]

Group the similar terms together:

[tex]-3y+3y+2x-x+5=11-2x[/tex]

Add/subtract the terms:

[tex]x+5=11-2x[/tex]

Subtract 5 from both sides:

[tex]x+5-5=11-2x-5[/tex]

[tex]x=-2x+6[/tex]

Add 2x to both sides:

[tex]x+2x=-2x+6+2x[/tex]

[tex]3x=6[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3}=\frac{6}{3}[/tex]

[tex]x=2[/tex]

Answer Link

Otras preguntas

Which word is correctly used in the sentence? Put the contact lens in ____ case. it's its
In the 1960s and 1970s, women’s liberation activists used ____________ to convince women that they were being deprived of their rights and of socially valued re
Seasons in south asia depend mostly on what
How to rewrite the sum of 96 80 using distributive property?
Fill in the blank with the correctly spelled word: You made an ________ decision. A. intelligent B. inteligent C. intellegent
How do we divide 175/35 without guessing? Please please answer now.
What are the three major island groups of the Caribbean?
What is water pollution??
how much money does a person who makes 36,000 a year going to need to save for retirment
The summer solstice can occur on any day of the week, with each day being equally likely. what is the probability the summer solstice will occur on a weekend?