Recall the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

Using the order of opperations, first simplify the exponent.

Next, perform the multiplication.

When solving for X in terms of Y, we simplify it so that Y is a variable that is used to represent the value of X:

To find the value for X by itself, we then divide both sides by the coefficient of 7:

Which gives the correct answer:

The question is asking for the simplified version of .

Remember the distributive property of multiplication over addition and subtraction:

Combine like terms.

32x + 37 = 43x – 29

Add 29 to both sides:

32x + 66 = 43x

Subtract 32x from both sides:

66 = 11x

Divide both sides by 11:

6 = x

In simplifying these two binomials, you need to isolate to one side of the equation. You can first add 4 from the right side to the left side:

Next you can subtract the from the left side to the right side:

Finally you can divide each side by 3 to solve for :

You can double check this answer by plugging 4 into each binomial and confirm that they are equal to one another.

To simplify these two binomials, you need to isolate on one side of the equation. You first can add 5 from the right to the left side:

Next you can subtract from the left to the right side:

Finally, you can isolate by dividing each side by 2:

You can verify this by plugging into each binomial to verify that they are equal to one another.

To solve for , you need to isolate it to one side of the equation. You can subtract the from the right to the left. Then you can add the 6 from the right to the left:

Next, you can factor out this quadratic equation to solve for . You need to determine which factors of 8 add up to negative 6:

Finally, you set each binomial equal to 0 and solve for :