To solve the equation 7(5x+2) = -4(6-5x) using the distributive property as a first step, we need to distribute the coefficients to each term inside the parentheses.
First, let's distribute 7 to each term inside the first set of parentheses:
7 * 5x = 35x
7 * 2 = 14
Now, let's distribute -4 to each term inside the second set of parentheses:
-4 * 6 = -24
-4 * (-5x) = 20x
After distributing, the equation becomes:
35x + 14 = -24 + 20x
Now, we can combine like terms. Move all the x terms to one side of the equation and move all the constant terms to the other side.
35x - 20x = -24 - 14
Simplifying the equation gives us:
15x = -38
To solve for x, divide both sides of the equation by 15:
x = -38/15
So, the solution to the equation 7(5x+2) = -4(6-5x) is x = -38/15.
Using the distributive property as a good first step to solving the equation 7(5x+2)=-4(6-5x)
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