Question

Solve for x:
4(x-5)
8
= 9y
X =
= [?]y + []
Enter

Answer 1

4(x-5) = 9y(8)
4x - 20 = 72y
4x - 72y = 20
4x = 20 + 72y
X = 20/4 + 72/4 y
X = 5 + 18y

Answer 2

x = 18y + 5

Explanation:

You want to solve for x the equation ...

`(4(x -5))/(8)=9y`

Operations

We can cancel factors of 4 to simplify the given equation to ...

`(x-5)/(2)=9y`

The operations done to x are ...

• subtract 5
• divide the result by 2

Solution

To solve for x, we undo these operations in reverse order.

Multiplying both sides by 2 undoes the division.

2(x -5)/2 = 2(9y) . . . multiply by 2

x -5 = 18y . . . . . . . . simplify

Adding 5 to both sides undoes the subtraction.

x -5 +5 = 18y +5

x = 18y +5 . . . . . . . . . simplify. This is the equation for x.

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