7(x-2)+3(x+2)=5(x-6) x=?
Jon, Anne, Tom, Jonah --
I solved your first two problems. Now it's your turn. We'll be glad to check your answers.
7(x-2)+3(x+2)=5(x-6)
7*x-7*2+3*x+3*2=5*x-5*6
7x-14+3x+6=5x-30
7x+3x-5x= -30+14-6
5x= -22 Divide with 5
x= -22/5
I got a different answer, Anonymous.
7(x-2)+3(x+2)=5(x-6)
7x-14+3x+6=5x-30 -distribute
10x-14+6=5x-30 -combine like terms
10x-8=5x-30 -get x's on 1 side
5x-8=-30
5x=-22 -isolate the x
x=-22/5
To solve this equation for x, we need to simplify both sides.
Let's begin by distributing the terms on both sides of the equation:
On the left side, we have:
7(x-2) + 3(x+2)
This becomes:
7x - 14 + 3x + 6
Simplifying further, we combine like terms:
10x - 8
Now, let's simplify the right side of the equation:
5(x-6)
This becomes:
5x - 30
So, the equation is now:
10x - 8 = 5x - 30
To isolate x, we want to move all the terms with x to one side of the equation and all the constant terms to the other side.
Let's start by subtracting 5x from both sides of the equation:
10x - 5x - 8 = 5x - 5x - 30
This simplifies to:
5x - 8 = -30
Next, let's add 8 to both sides of the equation to isolate the term with x:
5x - 8 + 8 = -30 + 8
This gives us:
5x = -22
Finally, to find the value of x, we divide both sides of the equation by 5:
(5x)/5 = (-22)/5
This gives us:
x = -22/5
Therefore, the value of x that satisfies the equation 7(x-2)+3(x+2)=5(x-6) is x = -22/5.