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Solve. Start Fraction 3 over 2 End Fractionx – 4 = 16

(1 point)
Responses

x = 20

x = 13 start fraction 1 over 3 end fraction

x = 15 start fraction 1 over 3 end fraction

30

1 answer

To solve the equation, we need to isolate the variable on one side.

Start Fraction 3 over 2 End Fractionx – 4 = 16

To isolate x, we first add 4 to both sides:

Start Fraction 3 over 2 End Fractionx = 16 + 4

Start Fraction 3 over 2 End Fractionx = 20

Then, to solve for x, we multiply both sides by the reciprocal of Start Fraction 3 over 2 End Fraction, which is Start Fraction 2 over 3 End Fraction:

Start Fraction 2 over 3 End Fraction(Start Fraction3 over 2 End Fractionx) = Start Fraction2 over 3 End Fraction(20)

x = Start Fraction2 over 3 End Fraction(20)

x = 40 over 3

So the solution is x = 40/3.