What is the answer to sqrt(2-7x)+2=sqrt(5x+1)+3 ?

The answer to sqrt(2-7x)+2=sqrt(5x+1)+3 is x=-1/9

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sqrt(2-7x)+2=sqrt(5x+1)+3

2 - 7 x + 2 = 5 x + 1 + 3

x = - \frac{1}{9}

Decimal Notation

x = - 0.11111 \dots

Solution steps

2 - 7 x + 2 = 5 x + 1 + 3

Remove square roots

144 x^{2} = 20 x + 4

Solve

144 x^{2} = 20 x + 4 : x = \frac{1}{4}, x = - \frac{1}{9}

x = \frac{1}{4}, x = - \frac{1}{9}

Verify Solutions:

x = \frac{1}{4}

False

, x = - \frac{1}{9}

True

The solution is

x = - \frac{1}{9}

x + 6 = - 2

3 x + 4 + 1 = 5 x + 5

x + 4 - x + 2 = 2

36 - 5 x = x

What is the answer to sqrt(2-7x)+2=sqrt(5x+1)+3 ?
The answer to sqrt(2-7x)+2=sqrt(5x+1)+3 is x=-1/9
Solve for x: sqrt(2-7x)+2=sqrt(5x+1)+3
The solution is x=-1/9