Question

solve the equation and check your answer 5x + 7/2 = 3/2x -14​

Answer 1

Step-by-step explanation:

$\\ \tt{:}\longrightarrow 5x + \frac{7}{2} = \frac{3}{2} - 14 x\\ \\ \tt{:}\longrightarrow 5x + 14x = \frac{3}{2} - \frac{7}{2} \\ \\ \tt{:}\longrightarrow 19x = \frac{4}{2} = 2 \\ \\ \tt{:}\longrightarrow x = \frac{2}{19}$

Answer 2

Step-by-step explanation:

$5x + \frac{7}{2} = \frac{3}{2x} - 14$

$5x - \frac{3}{2x} = - 14 - \frac{7}{2}$

$\frac{10x - 3}{2x} = \frac{ - 28 - 7}{2}$

$\frac{10x - 3}{2x} = \frac{ - 35}{2}$

$20x - 6 = - 70x$

$20x + 70x = 6$

$90x = 6$

$x = \frac{6}{90}$

$x = \frac{3}{45}$

$x = \frac{1}{15}$