Question

find the value of x.
\frac{3}{2}x + 5 = 5 - 2(x + 7)
x =

Explanation:

Step1: Expand the right-hand side

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

Step2: Simplify constants on RHS

$\frac{3}{2}x + 5 = -2x - 9$

Step3: Move $-2x$ to left side

$\frac{3}{2}x + 2x + 5 = -9$

Step4: Combine like terms for $x$

$\frac{3}{2}x + \frac{4}{2}x + 5 = -9$
$\frac{7}{2}x + 5 = -9$

Step5: Move constant to right side

$\frac{7}{2}x = -9 - 5$
$\frac{7}{2}x = -14$

Step6: Solve for $x$

$x = -14 \times \frac{2}{7}$

Answer:

$x = -4$