How would you set this problem up to find x?

If "G" is the midpoint of line FH, then both segments (lines FG and GH) must be the same length. Therefore, to find "x", you can set both segments equal to each other. After doing this, you can simplify and isolate to find "x".

FG = 33x - 13

GH = 13x + 7

FG = GH

33x - 13 = 13x + 7

Answer Link

Amphitrite1040 Amphitrite1040 · Answer 2 · 2022-07-11T00:24:36+02:00

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming that your equation should}\\\huge\textbf{look like that: }[/tex]

[tex]\mathbf{33x - 13 = 13x + 7}[/tex]

[tex]\huge\textbf{If so:}[/tex]

[tex]\mathbf{33x - 13 = 13x + 7}[/tex]

[tex]\huge\textbf{SUBTRACT 13x to BOTH SIDES}[/tex]

[tex]\mathbf{33x - 13 - 13x = 13x + 7 - 13x}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{20x - 13 = 7}[/tex]

[tex]\huge\textbf{ADD 13 to BOTH SIDES}[/tex]

[tex]\mathbf{20x - 13 + 12 = 7 + 13}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{20x = 20}[/tex]

[tex]\huge\textbf{DIVIDE 20 to BOTH SIDES}[/tex]

[tex]\mathbf{\dfrac{20x}{20} = \dfrac{20}{20}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{x = \dfrac{20}{{20}}}[/tex]

[tex]\mathbf{x = 1}[/tex]

[tex]\huge\text{Answer: \boxed{\mathsf{33x - 13 = 13x + 7}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]