What is the answer to 3sqrt(4x-2)+7=13 ?

The answer to 3sqrt(4x-2)+7=13 is x= 3/2

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3sqrt(4x-2)+7=13

3 4 x - 2 + 7 = 13

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

3 4 x - 2 + 7 = 13

Move

7

to the right side

3 4 x - 2 = 6

Divide both sides by

3

4 x - 2 = 2

Square both sides:

4 x - 2 = 4

4 x - 2 = 4

Solve

4 x - 2 = 4 : x = \frac{3}{2}

x = \frac{3}{2}

Verify Solutions:

x = \frac{3}{2}

True

The solution is

x = \frac{3}{2}

3 x + 2 = x + 4

x^{\frac{- 3}{4}} = 8

4 x - 4 = x + 3

32 = x^{\frac{5}{2}}

7 w - 12 = 5 w + 10

What is the answer to 3sqrt(4x-2)+7=13 ?
The answer to 3sqrt(4x-2)+7=13 is x= 3/2
Solve for x: 3sqrt(4x-2)+7=13
The solution is x= 3/2