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!