Solve for x 4(1-x)+2x= -3(x+1)

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Let's quickly write our equation below.

4(1-x)+2x=-3(x+1)

To solve this, we want to get the x by itself on one side of the equation so we can see what it equals on the other side. First, we need to get it out of the parentheses. To do this, we will use the distributive property and multiply the number before the parentheses by both terms inside of it as seen below! :)

4(1)-4(x)+2x=-3(x)-3(1)

4-4x+2x=-3x-3

Now, we need to combine our like terms.

4-2x=-3x-3

Now, we want to get all of our constants (numbers without variables) onto the right side. First, we will subtract four from both sides.

-2x=-3x-7

Now, we will add 3x to both sides.

x= -7

I hope that this helps! Have a wonderful day!

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4