if f(x) = -3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true

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[tex]f(x) = g(x)[/tex]
[tex] - 3x + 4 = 2[/tex]
Subtract sides 4
[tex] - 3x + 4 - 4 = 2 - 4[/tex]
[tex] - 3x = - 2[/tex]
Divided sides by -3
[tex] \frac{ - 3}{ - 3} x = \frac{ - 2}{ - 3} \\ [/tex]
[tex]x = \frac{2}{3} \\ [/tex]
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Thus for x = ⅔ , f(x) = g(x)