166k views
17 votes
3/4(2x-3) = 2/3 x+5 with detailed explanation

User Wakachamo
by
7.0k points

2 Answers

2 votes

Answer:

x = 11

Step-by-step explanation:

3/(3(2x-3)) = 2/(3x+5)

3(2x-3) = 6x - 9

3/(6x-9) = 2/(3x+5)

3(3x+5) = 2(6x-9)

9x + 15 = 12x - 18

12x - 9x = 15 + 18

3x = 33

x = 11

User Elamurugan
by
7.9k points
11 votes

Answer:


\mathrm x= (87)/(10) \quad or \quad 8.7

Step-by-step explanation:


\longrightarrow \sf (3)/(4) (2x-3)=\:(2)/(3)\:x+5

  • Distribute inside parenthesis


\longrightarrow \sf (3)/(2) x-(9)/(4) =\:(2)/(3)\:x+5

  • Group the variables


\longrightarrow \sf (3)/(2) x-(2)/(3)x=5+(9)/(4)

  • Add or Subtract


\longrightarrow \sf (5)/(6) x=(29)/(4)

  • Cross Multiply


\longrightarrow \sf x=(29(6))/(4(5))

  • Simplify the following


\longrightarrow \sf x=(87)/(10) \quad or \quad 8.7

User Russell Borogove
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.