Solve the equation.
$7 (3 x + 6) = 11 - (x + 2)$

Answer

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Answer

Final Answer: The solution to the equation is $- \frac{3}{2}$ .

Steps

Step 1 ：Distribute the 7 on the left side of the equation to get $21 x + 42$ .

Step 2 ：Simplify the right side of the equation to get $9 - x$ .

Step 3 ：Set the two expressions equal to each other: $21 x + 42 = 9 - x$ .

Step 4 ：Combine like terms to get the simplified equation $x = - \frac{3}{2}$ .

Step 5 ：Substitute $x = - \frac{3}{2}$ back into the original equation to verify that both sides of the equation are equal.

Step 6 ：Final Answer: The solution to the equation is $- \frac{3}{2}$ .