Question

3/4(2x-3) = 2/3 x+5 with detailed explanation

Answer 1

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

Answer 2

`\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`