Question

the figure below is a square. find the value of x.

Explanation:

Step1: Use the property of a square

In a square, all sides are equal. So, \(12x + 26=14x - 7\).

Step2: Solve the equation for \(x\)

Subtract \(12x\) from both sides:
\(12x+26 - 12x=14x - 7-12x\)
\(26 = 2x-7\)
Add \(7\) to both sides:
\(26 + 7=2x-7 + 7\)
\(33=2x\)
Divide both sides by \(2\):
\(x=\frac{33}{2}=16.5\)

Answer:

\(16.5\)