Question

3/2=4x what is x

Solve the equation.
3
2
=
4
�
2
3
​
=4xstart fraction, 3, divided by, 2, end fraction, equals, 4, x
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=
x=x, equals

Answer 1

x = 3/8

Explanation:

You want the solution to 3/2 = 4x.

One-step equation

You solve this one-step linear equation by multiplying both sides by the inverse of the x-coefficient:

`(3)/(2)=4x\qquad\text{given}\\\\\\(1)/(4)*(3)/(2)=(1)/(4)*4x\\\\\\(3)/(8)=(4)/(4)x\\\\\\\boxed{x=(3)/(8)}`

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Additional comment

The "one step" is multiplying both sides by 1/4. The rest is simplifying the result.

Of course, this is the same as dividing both sides by 4. The result is x = (3/2)÷4 = 3/(2·4) = 3/8.