Question

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

Answer 1

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

Answer 2

Answer:

$\mathrm x= \dfrac{87}{10} \quad or \quad 8.7$

Explanation:

$\longrightarrow \sf \dfrac{3}{4} (2x-3)=\:\dfrac{2}{3}\:x+5$

• Distribute inside parenthesis

$\longrightarrow \sf \dfrac{3}{2} x-\dfrac{9}{4} =\:\dfrac{2}{3}\:x+5$

• Group the variables

$\longrightarrow \sf \dfrac{3}{2} x-\dfrac{2}{3}x=5+\dfrac{9}{4}$

• Add or Subtract

$\longrightarrow \sf \dfrac{5}{6} x=\dfrac{29}{4}$

• Cross Multiply

$\longrightarrow \sf x=\dfrac{29(6)}{4(5)}$

• Simplify the following

$\longrightarrow \sf x=\dfrac{87}{10} \quad or \quad 8.7$