What is the answer to 1+sqrt(x+14)+2=-3/5*x+3 ?

The answer to 1+sqrt(x+14)+2=-3/5*x+3 is x=-5

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1+sqrt(x+14)+2=-3/5*x+3

1 + x + 14 + 2 = - \frac{3}{5} \cdot x + 3

x = - 5

Solution steps

1 + x + 14 + 2 = - \frac{3}{5} x + 3

Multiply both sides by

5

1 \cdot 5 + x + 14 \cdot 5 + 2 \cdot 5 = - \frac{3}{5} x \cdot 5 + 3 \cdot 5

Simplify

5 x + 14 + 15 = - 3 x + 15

Remove square roots

25 x + 350 = 9 x^{2}

Solve

25 x + 350 = 9 x^{2} : x = \frac{70}{9}, x = - 5

x = \frac{70}{9}, x = - 5

Verify Solutions:

x = \frac{70}{9}

False

, x = - 5

True

The solution is

x = - 5

2 x = - 3 - x

x + 5 - x - 5 = 1

1 + 2 x + 1 = 3 4 x - 3 - 4

x - 5 = x - 6

2 x + 1 = - 3

What is the answer to 1+sqrt(x+14)+2=-3/5*x+3 ?
The answer to 1+sqrt(x+14)+2=-3/5*x+3 is x=-5
Solve for x: 1+sqrt(x+14)+2=-3/5*x+3
The solution is x=-5