Solving Algebraic Equations: Step-by-Step Guide to Isolating Variables

12 (-x + 5) = 144

To solve the given equation, we need to isolate the variable x

To solve the given equation, we need to isolate the variable x.

Let’s begin by simplifying the left side of the equation.

Using the distributive property, we can multiply 12 by each term inside the parentheses:

12(-x + 5) = 144

-12x + 60 = 144

Next, we want to isolate the variable x by moving the constant term to the other side of the equation.

Subtracting 60 from both sides:

-12x + 60 – 60 = 144 – 60

-12x = 84

Now, we need to get rid of the coefficient -12 in front of x. To do this, we divide both sides of the equation by -12:

(-12x) / -12 = 84 / -12

Simplifying:

x = -7

Therefore, the solution to the equation 12(-x + 5) = 144 is x = -7.

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