When the distributive property is used to solve the equation 3(x+5) =5x-7, what could be the next step?
(please help i really want the ps5)
distributing the three on the left hand side ... 3x + 15 = 5x - 7
To solve the equation using the distributive property, you need to multiply the number outside the parentheses by each term inside the parentheses. Let's apply the distributive property to the equation 3(x + 5) = 5x - 7.
The distributive property states that for any real numbers a, b, and c, a(b + c) = ab + ac.
In this equation, we have 3(x + 5), so we need to multiply 3 by both terms inside the parentheses:
3(x + 5) = 3 * x + 3 * 5
Next, simplify the expression:
3x + 15 = 5x - 7
Now we have an equation in terms of x. To find the next step, we need to isolate the x terms on one side of the equation.
One possible next step is to move the x terms to the same side by subtracting 3x from both sides:
3x - 3x + 15 = 5x - 3x - 7
On the left side, the 3x and -3x cancel out, leaving us with:
15 = 2x - 7
Now we have the equation 15 = 2x - 7, and there are several ways to proceed from here to solve for x.
To solve the equation 3(x + 5) = 5x - 7 using the distributive property, the next step would be to distribute the 3 to both terms inside the parentheses:
3(x + 5) = 5x - 7
3 * x + 3 * 5 = 5x - 7
This simplifies to:
3x + 15 = 5x - 7