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galina1969 [7]
3 years ago
11

4(x-6)+6=6x-9 what is x

Mathematics
2 answers:
Gala2k [10]3 years ago
7 0

Answer:

− 9/2

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x−6)+6=6x−9

Step 1: Simplify both sides of the equation.

4(x−6)+6=6x−9

(4)(x)+(4)(−6)+6=6x+−9(Distribute)

4x+−24+6=6x+−9

(4x)+(−24+6)=6x−9(Combine Like Terms)

4x+−18=6x−9

4x−18=6x−9

Step 2: Subtract 6x from both sides.

4x−18−6x=6x−9−6x

−2x−18=−9

Step 3: Add 18 to both sides.

−2x−18+18=−9+18

−2x=9

Step 4: Divide both sides by -2.

−2x/−2=9/−2

x=−9/2

masha68 [24]3 years ago
3 0

Ah cute.

We have the following equality

4(x-6)+6=6x-9.

First we will distribute the parentheses on the left side to get

4x-24+6=6x-9.

Then move x-terms to left side and other terms to right side

-2x=9.

Finally divide both sides of equation by -2 to get

x=\boxed{-\dfrac{9}{2}}.

Hope this helps.

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