How do you solve for the variable in this equation? -1 = 6 (2x -7) +22
-1 = 12 x - 42 + 22
19 = 12 x
x = 19/12
To solve for the variable in the given equation, follow these steps:
Step 1: Remove any parentheses by applying the distributive property. In this equation, distribute the 6 to the terms inside the parentheses:
-1 = 6(2x - 7) + 22 becomes
-1 = 12x - 42 + 22
Simplifying further, we get:
-1 = 12x - 20
Step 2: Isolate the variable term. In this case, move the constant term (-20) to the other side of the equation by adding 20 to both sides:
-1 + 20 = 12x - 20 + 20
19 = 12x
Step 3: Solve for the variable by isolating it. To do this, divide both sides of the equation by the coefficient of x, which is 12:
19/12 = 12x/12
19/12 = x
So, the solution to the equation is x = 19/12.