Question

What is the solution of the equation? 2x+5√3+7=15

Answer 1

Answer:

$x=4-\frac{5\sqrt3}{2}$

Step-by-step explanation:

$2x+5\sqrt3+7 =15$

$2x=15-7-5\sqrt3$

$2x=8-5\sqrt3$

$\bf\red{\boxed{ x=4-\frac{5\sqrt3}{2} }}$

Success! ❀

Answer 2

Answer:

$\Huge \boxed{\boxed{\bf{x = 4 - \frac{5\sqrt{3}}{2}}}}$

Step-by-step explanation:

To solve the equation $\tt{2x + 5\sqrt{3} + 7 = 15}$ for $\tt{x}$, we need to isolate $\tt{x}$ on one side of the equation.

1. Subtract $\tt{7}$ from both sides of the equation to get rid of the constant term on the left side:

• $\tt{2x + 5\sqrt{3} + 7 - 7 = 15 - 7}$

• $\tt{2x + 5\sqrt{3} = 8}$

2. Subtract $\tt{5\sqrt{3}}$ from both sides to isolate the term with $\tt{x}$:

• $\tt{2x + 5\sqrt{3} - 5\sqrt{3} = 8 - 5\sqrt{3}}$

• $\tt{2x = 8 - 5\sqrt{3}}$

3. Divide both sides by $\tt{2}$ to solve for $\tt{x}$:

• $\tt{\dfrac{2x}{2} = \dfrac{8 - 5\sqrt{3}}{2}}$

• $\tt{x = 4 - \dfrac{5\sqrt{3}}{2}}$

The solution for $\tt{x}$ is $\tt{x = 4 - \frac{5\sqrt{3}}{2}}$.

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