Question

asked Oct 17, 2024 210k views

2 Answers

Yelliver · Answer 1 · 2024-10-19T10:17:45+0000

Hello!

Answer:

$\Large \boxed{\sf True,x = 5}$

Explanation:

→ We want to find if 5 is the solution of this equation:

$\sf 2x-3 = x+2$

Let's solve this equation:

◼ Add 3 to both sides:

$\sf 2x-3+3 = x+2+3$

◼ Simplify both sides:

$\sf 2x = x+5$

◼ Subtract x from both sides:

$\sf 2x-x = x+5-x$

◼ Simplify both sides:

$\boxed{\sf x = 5}$

Conclusion:

The solution of the equation 2x - 3 = x + 2 is 5.

So the answer is true.

Let's replace x with 5 on both sides and see if the equality is verified.

→ First side:

$\sf 2x-3 \\\\= 2 * 5 - 3 \\\\= 10 - 3 \\\\= 7$

→ Second side:

$\sf x+2\\\\= 5+2\\\\= 7$

Both sides are equal so the equality is verified.

Conclusion:

5 is a solution of the equation 2x - 3 = x + 2.

So the answer is true.

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