Respuesta :
ANSWER
x = -2
EXPLANATION
We want to find x in the equation below:
[tex]\frac{2x\text{ - 1}}{5}\text{ = }\frac{2\text{ + 3x}}{4}[/tex]First, multiply both sides by 20, to eliminate both denominators:
[tex]\begin{gathered} 20\cdot\text{ }\frac{1}{5}(2x\text{ - 1) = 20 }\cdot\text{ }\frac{1}{4}(2\text{ + 3x)} \\ \Rightarrow\text{ 4(2x - 1) = 5(2 + 3x)} \\ 8x\text{ - 4 = 10 + 15x} \\ \text{Collect like terms:} \\ 15x\text{ - 8x = -4 - 10} \\ 7x\text{ = -14} \\ x\text{ = }\frac{-14}{7} \\ x\text{ = -2} \end{gathered}[/tex]That is the value of x.
