how do you solve this???
2(x-3)=-x+3+5x
i don't get distributing stuff
2x-6=-x+3+5x
subtract 2x from both sides.
subtract 3 from both sides.
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2(x-3)=-x+3+5x
2x-6=-x+3+5x
-2x-6=-x+3-2x
-6=-x+3+3x
-6=+3+2x
-3=-3+2x
-9=2x
_=_
2 2
-4.5=x
To solve the equation 2(x - 3) = -x + 3 + 5x, you first need to distribute the 2 to the terms inside the parentheses on the left-hand side. Distributing means multiplying the 2 by each term inside the parentheses. Let's break it down step by step:
1. Distribute 2 to (x - 3):
2 * x = 2x
2 * (-3) = -6
The equation becomes: 2x - 6 = -x + 3 + 5x
Next, you should simplify both sides of the equation by combining like terms. Group the x terms and the constant terms separately:
2x + (-x + 5x) - 6 = 3
Simplify the x terms:
(2x - x + 5x) - 6 = 3
(6x - 6) = 3
Now, eliminate the constant (-6) from the left side by adding 6 to both sides of the equation:
(6x - 6) + 6 = 3 + 6
6x = 9
Finally, divide both sides of the equation by 6 to isolate the variable x:
6x / 6 = 9 / 6
x = 3/2
So, the solution to the equation 2(x - 3) = -x + 3 + 5x is x = 3/2.