Final Answer: [tex]x = 38[/tex]
Steps/Reasons/Explanation:
Question: What is the value of x in the equation [tex]3(x + 10) = 4(x - 2)[/tex]?
Step 1: Expand.
[tex]3x + 30 = 4x - 8[/tex]
Step 2: Subtract [tex]3x[/tex] from both sides.
[tex]30 = 4x - 8 - 3x[/tex]
Step 3: Simplify [tex]4x - 8 - 3x[/tex] to [tex]x - 8[/tex].
[tex]30 = x - 8[/tex]
Step 4: Add [tex]8[/tex] to both sides.
[tex]30 + 8 = x[/tex]
Step 5: Simplify [tex]30 + 8[/tex] to [tex]38[/tex].
[tex]38 = x[/tex]
Step 6: Switch sides.
[tex]x = 38[/tex]
~I hope I helped you :)~
