\( 84+(x+59+(x+51)=180 \) Solve for \( x \)

Let's solve the equation step by step. ### Given Equation: \[ 84 + (x + 59) + (x + 51) = 180 \] ### Step 1: Remove the Parentheses \[ 84 + x + 59 + x + 51 = 180 \] ### Step 2: Combine Like Terms \[ 2x + (84 + 59 + 51) = 180 \] \[ 2x + 194 = 180 \] ### Step 3: Isolate the Variable Term Subtract 194 from both sides: \[ 2x = 180 - 194 \] \[ 2x = -14 \] ### Step 4: Solve for \( x \) Divide both sides by 2: \[ x = \frac{-14}{2} \] \[ x = -7 \] ### **Solution:** \[ x = -7 \] **Note:** The value of \( x \) is \(-7\). If this equation represents a real-world scenario (like angles in a geometric shape), a negative value might indicate an error in the setup or interpretation of the problem.