Question

3 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 the right - hand side

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

Step3: Add $2x$ to both sides

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

Step4: Subtract 5 from both sides

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

Step5: Multiply both sides by $\frac{2}{7}$

$x=-14\times\frac{2}{7}$
$x=-4$

Answer:

$x = - 4$