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x=9/2

Step-by-step explanation:

2(x−2)+10=6x−12

Step 1: Simplify both sides of the equation.

2(x−2)+10=6x−12

(2)(x)+(2)(−2)+10=6x+−12(Distribute)

2x+−4+10=6x+−12

(2x)+(−4+10)=6x−12(Combine Like Terms)

2x+6=6x−12

2x+6=6x−12

Step 2: Subtract 6x from both sides.

2x+6−6x=6x−12−6x

−4x+6=−12

Step 3: Subtract 6 from both sides.

−4x+6−6=−12−6

−4x=−18

Step 4: Divide both sides by -4.

−4x−4=−18−4

x=9/2

Hope this helps :)

<=>2(x-2) -6(x-2) +10=0

<=>(x-2)(2-6)+10=0

<=>-4(x-2)=-10

=>x=9/2

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