(x-5)(-3)=18

less than a minute read Jun 17, 2024
(x-5)(-3)=18

Solving the Equation: (x-5)(-3) = 18

This article will guide you through solving the equation (x-5)(-3) = 18.

1. Distribute the -3

The first step is to distribute the -3 to the terms inside the parentheses:

-3(x - 5) = 18 -3x + 15 = 18

2. Isolate the x term

To isolate the x term, subtract 15 from both sides of the equation:

-3x + 15 - 15 = 18 - 15 -3x = 3

3. Solve for x

Finally, divide both sides of the equation by -3 to solve for x:

-3x / -3 = 3 / -3 x = -1

Therefore, the solution to the equation (x-5)(-3) = 18 is x = -1.

Verification

To verify our solution, we can substitute x = -1 back into the original equation:

(-1 - 5)(-3) = 18 (-6)(-3) = 18 18 = 18

This confirms that our solution is correct.

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