How do you solve 5x+2(2x-23)= -154? could you show step by step if possible
Remember that whatever you do to one side of the equation you must also do to the other. Also, the aim here is to isolate the x in order to find its value. It is also important to note the distributive property of numbers:
a(b + c) = ab + ac
5x + 2(2x - 23) = -154 | First, you need to distribute the 2
5x + 2(2x) - 2(23) = -154
5x + 4x - 46 = -154 | Then combine like terms
9x - 46 = -154 |Then, add 46 to both sides
9x - 46 + 46 = -154 + 46
9x = -108 | Now we will divide by 9 on both sides to isolate x
9x /9 = -108 /9
x = -12
Hope this helps! :)
\(5x+2(2x-23)=-154\\\\ 5x+4x-46=-154\ \ \ | add\ similar\ factors\\\\ 9x-46=-154\ \ \ | add\ 46\\\\ 9x=-108 \ \ |divide\ by\ 9 \\\\x=-12\\\\Solution\ is\ x=-12.\)