solve using distributive property
(show all work)
3w-1-4w=4-2w
the distributive property does not enter the picture here
3w-1-4w=4-2w
3w-4w+2w = 4+1
w = 5
I surely hope they didn't mean to have you solve it like this :
3w-4w+2w = 4+1
w(3-4+2) = 5
w(1) = 5
w = 5 ?????
To solve the equation using the distributive property, we need to distribute the coefficients to each term in the equation.
Let's go step-by-step to solve the equation.
Given equation: 3w - 1 - 4w = 4 - 2w
First, let's distribute the coefficient of -1 to both terms on the left side of the equation:
3w - 1 - 4w = 4 - 2w
3w + (-1) - 4w = 4 - 2w
Next, let's distribute the coefficient of -2 to the term on the right side of the equation:
3w - 1 - 4w = 4 - 2w
3w + (-1) - 4w = 4 + (-2w)
Now, simplify the equation by combining the like terms on each side:
(3w - 4w) + (-1) = (4 - 2w)
-1w - 1 = 4 - 2w
To combine the like terms on the left side, we can also write -1w as -w:
(-w) - 1 = 4 - 2w
Now, let's isolate the variable terms on one side and the constant terms on the other side of the equation. Let's move all the terms with w to the left side of the equation by adding 2w to both sides:
(-w) - 1 + 2w = 4 - 2w + 2w
-w + 2w - 1 = 4
Combine the like terms on the left side of the equation:
(-w + 2w) - 1 = 4
w - 1 = 4
To move the constant term (-1) to the right side of the equation, we need to add 1 to both sides:
w - 1 + 1 = 4 + 1
w = 5
Therefore, the solution to the equation is w = 5.