Question

How to solve 3(x+4)=5x-12

Answer 1

Hello there ^ _ ^

3(x + 4) = 5x - 12
3x + 12 = 5x - 12
Put the common terms together
3x - 5x = -12 - 12
-2x = -24
x = -24/-2
x = 12


I hope that helps!

Answer 2

`\huge\text{Hey there!}`

`\large\textsf{3(x + 4) = 5x - 12}\\\rightarrow\large\textsf{ 3(x) + 3(4) = 5x - 12}\\\rightarrow\large\textsf{3x + 12 = 5x - 12}\\\large\text{SUBTRACT 5x to BOTH SIDES}\\\large\textsf{3x + 12x - 5x = 5x - 12 - 5x}\\\large\text{CANCEL out: 5 - 5 because that gives you 0}\\\large\text{SIMPLIFY ABOVE}\uparrow\\\large\text{SUBTRACT 12 to BOTH SIDES}\\\large\textsf{-2x + 12 - 12 = -12 - 12}\\\large\text{SOLVE}\uparrow\\\large\text{\large\text{NEW EQUATION: \textsf{-2x = -12}}}`

`\large\text{DIVIDE -2 to BOTH SIDES}\\\mathsf{(-2x)/(-2) = (-24)/(-2)}\\\large\text{CANCEL out: }\rm{(-2)/(-2)}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{(-24)/(-2)}\large\text{ because it gives you the answer of the x-value}\\\large\text{NEW EQUATION: x = }\rm{(-24)/(-2)}\\\large\text{SOLVE }\uparrow\\\large\textsf{x = 12}\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\mathsf{x = 12}}}}\huge\checkmark`

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`\frak{Amphitrite1040:)}`