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

The answer to sqrt(3)(1+x)=2(x-3) is x=15+8sqrt(3)

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

3 (1 + x) = 2 (x - 3)

x = 15 + 83

Decimal Notation

x = 28.85640 \dots

Solution steps

3 (1 + x) = 2 (x - 3)

Expand

3 (1 + x) : 3 + 3 x

Expand

2 (x - 3) : 2 x - 6

3 + 3 x = 2 x - 6

Move

3

to the right side

3 x = 2 x - 6 - 3

Move

2 x

to the left side

3 x - 2 x = - 6 - 3

Factor

3 x - 2 x : (3 - 2) x

(3 - 2) x = - 6 - 3

Divide both sides by

3 - 2

x = 15 + 83

(x + 3) \cdot 0.2 + 6 - 2 = 12

2 x - 5 = - 3 x - 201212

18 x = 900

x, f (2 x + 5) = 4 x + 10.41

x \cdot 0.7 = 18000

What is the answer to sqrt(3)(1+x)=2(x-3) ?
The answer to sqrt(3)(1+x)=2(x-3) is x=15+8sqrt(3)
Solve for x: sqrt(3)(1+x)=2(x-3)
The solution is x=15+8sqrt(3)