Solve for x 2.3(6-x)+22=96-2.3(2x+12)

Hello!

(this took me 20 minutes to type out from what I wrote on paper lol)

I'm going to guide you through this one step at a time

Step 1: Simplify both sides of the equation.

2.3(6−x)+22 = 96−2.3(2x+12)

(2.3)(6)+(2.3)(−x)+22 = 96+(−2.3)(2x)+(−2.3)(12) (use distributive property of multiplication)

13.8+−2.3x+22 = 96+−4.6x+−27.6

(−2.3x)+(13.8+22) = (−4.6x)+(96+−27.6) (Combine The Like Terms)

−2.3x+35.8 = −4.6x+68.4

−2.3x+35.8 = −4.6x+68.4

Step 2: now, add 4.6x to both sides.

−2.3x+35.8+4.6x = −4.6x+68.4+4.6x

2.3x+35.8 = 68.4

Step 3: next, subtract 35.8 from both sides.

2.3x+35.8−35.8 = 68.4−35.8

2.3x = 32.6

Step 4: Divide both sides by 2.3.

=

fractions solved: x = 14.173913

your final answer is: x = 14.173913

I hope this helps, and have a nice day!

d. 9

step-by-step explanation:

in the table given in the picture, x is the input of the function and f(x) is the output on the given input. in the given table, it can be read as the value of function at -3 is it's respective value of f(x) which is -9.

as we have to find the value of f(3), we will see that what is the value of output on input 3. we can see in the table that the output value at x=3 is 9.

so, option d is the correct answer ..