What is the answer to (5sqrt(2x-4)+3)/6 =8 ?

The answer to (5sqrt(2x-4)+3)/6 =8 is x= 85/2

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(5sqrt(2x-4)+3)/6 =8

\frac{5 2 x - 4 + 3}{6} = 8

x = \frac{85}{2}

Decimal Notation

x = 42.5

Solution steps

\frac{5 2 x - 4 + 3}{6} = 8

Multiply both sides by

6

\frac{5 2 x - 4 + 3}{6} \cdot 6 = 8 \cdot 6

Simplify

5 2 x - 4 + 3 = 48

Move

3

to the right side

5 2 x - 4 = 45

Divide both sides by

5

2 x - 4 = 9

Square both sides:

2 x - 4 = 81

2 x - 4 = 81

Solve

2 x - 4 = 81 : x = \frac{85}{2}

x = \frac{85}{2}

Verify Solutions:

x = \frac{85}{2}

True

The solution is

x = \frac{85}{2}

x - 10 = x - 7

\frac{k - 3 x}{m} = a

(a^{2} + 1)^{\frac{1}{2}} = a + 1

z + 7 = 6

What is the answer to (5sqrt(2x-4)+3)/6 =8 ?
The answer to (5sqrt(2x-4)+3)/6 =8 is x= 85/2
Solve for x: (5sqrt(2x-4)+3)/6 =8
The solution is x= 85/2