Question

Please help me i need help this is some of my summer school thank you

Answer 1

1. This statement is given.
2. Add 2 to both sides of this equation.
3. Add
   `-4x` to both sides of this equation.
4. Divide both sides by 2.
5. Apply the symmetric property of equality.

Explanation:

The unknown
`x` and the numbers are mixed in the given equation. However, in the desired equation, the left-hand side contains only the unknown while the right-hand side contains only numbers.

Start with the given equation. That's statement 1.

The question chooses to move the number
`-2` from the right-hand side of the equation to the left-hand side in statement 2. This change can be done by adding
`2` (the opposite of
`-2`) to both sides of the equation.

In statement 3, The question moves the term with the unknown
`4x` from the left-hand side of the equation to the right-hand side. This change can be done by adding
`-4x` (the opposite of
`4x`) to both sides of the equation.

The coefficient of the unknown
`x` in statement 3 is
`2`. In statement 4, the question turns this coefficient into
`1`. This change can be done by dividing both sides by the coefficient of
`x`. Keep in mind that multiplying both sides with the reciprocal of that coefficient,
`1/2`, will achieve the same effect.

By the symmetric property of equality,
`a = b` if and only if
`b = a`. In other words, if
`3/2 = x` is true,
`x = 3/2` must also be true. That leads to statement 5.