Solving the Equation: 2(2x+3)+5x+1=−11
In this article, we will solve the equation 2(2x+3)+5x+1=−11 and find the value of x.
Step 1: Expand the Equation
To start, we need to expand the equation by multiplying the terms inside the parentheses.
2(2x+3) = 4x + 6
So, the equation becomes:
4x + 6 + 5x + 1 = -11
Step 2: Combine Like Terms
Now, we can combine the like terms on the left-hand side of the equation.
4x + 5x = 9x 6 + 1 = 7
The equation becomes:
9x + 7 = -11
Step 3: Subtract 7 from Both Sides
To isolate the term with the variable x, we subtract 7 from both sides of the equation.
9x + 7 - 7 = -11 - 7 9x = -18
Step 4: Divide Both Sides by 9
Finally, we divide both sides of the equation by 9 to solve for x.
9x / 9 = -18 / 9 x = -2
Answer
The value of x is -2.
Therefore, the solution to the equation 2(2x+3)+5x+1=−11 is x = -2.
