Follow the properties of equality given for the steps to solve the following equation:
3
-3(x - 4) + 5 = -x - 3
Step 1: Distributive Property (Equation after distributing -3)
Step 2. Combine like terms (Equation after combining like terms)
Step 3: Addition Property of Equality (Equation after adding a variable to both sides
of the equation)
Step 4: Addition Property of Equality (Equation after adding a constant to both sides
of the equation)
Step 5: Division Property of Equality (Equation after dividing to both sides of the
equation- final answer)

Respuesta :

By following the given steps, we will see that the solution is:

x = 6.66

How to solve the equation?

The linear equation is:

-3*(x - 4) + 5 = -x - 3

1) We want to distribute the product in the left side:

-3*x + (-3)*(-4) + 5= -x - 3

-3x + 12 + 5 = -x - 3

2) combine like terms, the only two that we can combine are the second and third on the left side:

-3x + (12 + 5) = -x - 3

-3x + 17 = -x - 3

3 and 4) Now we need to:

  • Subtract 17 on both sides.
  • Add x on both sides

We will get:

(-3x + 17) - 17 + x = (-x - 3) - 17 + x

-3x + (17 - 17) + x = (-x + x) - 3 - 17

-3x = -20

5) Now we can divide both sides by the same number, -3.

(-3x)/-3 = (-20/-3)

x = 6.66

If you want to learn more about linear equations, you can read:

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