The equation -2x - 15 = 7 has a solution of x = 7, fulfilling all the requirements.
Two-step equation with solution x = 7:
Start with variable multiplied by a negative coefficient:
-2x = ?
Subtract a constant to obtain the solution x = 7:
-2x - 15 = 7
Step-by-step explanation:
We know the solution is x = 7, so we want to represent this value in the equation.
We start with -2x, which will become the variable term after solving the equation.
To get to x = 7, we need to subtract 15 from -2x. This gives us the final equation:
-2x - 15 = 7
Verification:
Solving the equation confirms that x = 7 is the solution:
Add 15 to both sides:
-2x - 15 + 15 = 7 + 15
-2x = 22
Divide both sides by -2:
x = 22 / -2
x = -11
Therefore, the equation -2x - 15 = 7 has a solution of x = 7, fulfilling all the requirements.
Question
Write a two-step equation that involves multiplication and subtraction, includes a negative coefficient, and has a solution of x=7.