(45+?)*4=45*?+22*4

To solve the equation \((45+?) \cdot 4 = 45 \cdot ? + 22 \cdot 4\), let's first simplify both sides. 1. Distributing the left side: \[ (45 + ?) \cdot 4 = 45 \cdot 4 + ? \cdot 4 \] This gives: \[ 180 + 4? = 45? + 88 \] 2. Now we have: \[ 180 + 4? = 45? + 88 \] 3. Rearranging the equation to move all terms involving \(?\) to one side and constant terms to the other side: \[ 180 - 88 = 45? - 4? \] Simplifying the left side: \[ 92 = 41? \] 4. Now, solve for \(?\): \[ ? = \frac{92}{41} \] Simplifying this results in: \[ ? \approx 2.2439 \] Thus, the solution is \(? \approx 2.24\) (rounded to two decimal places).