x/7 − 4 = − 6
Give a step by step explanation with a reasoning for each step used in the process.
To solve the equation x/7 - 4 = -6, we need to isolate the variable x.
Step 1: First, we can start by eliminating the constant term -4 by adding 4 to both sides of the equation.
x/7 - 4 + 4 = -6 + 4
This simplifies to:
x/7 = -2
Step 2: Next, we can multiply both sides of the equation by 7 to eliminate the fraction.
7(x/7) = 7(-2)
This simplifies to:
x = -14
Step 3: Therefore, the solution to the equation is x = -14.
Shawnece is solving the equation x7 − 4 = −6 . One of her steps is to multiply both sides of the equation by 7. Why?
Multiplying both sides by 7 undoes the addition in the original problem.
Multiplying both sides by 7 undoes the subtraction in the original problem.
The negative sign in −6 must be changed to positive.
Multiplying both sides by 7 undoes the division of x by 7 in the original problem.