Answered

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Determine the number of solutions for the equation shown below.

[tex]\[ 2x = 5 + 2x \][/tex]

A. 0
B. 1
C. 2
D. Infinitely many

Sagot :

GinnyAnsweridn
To determine the number of solutions for the equation [tex]\(2x = 5 + 2x\)[/tex], follow these detailed steps:

1. Subtract [tex]\(2x\)[/tex] from both sides:
[tex]\[ 2x - 2x = 5 + 2x - 2x \][/tex]

2. Simplify the equation:
[tex]\[ 0 = 5 \][/tex]

3. What remains is a contradiction (0 cannot equal 5), so the equation has no solution.

Thus, the number of solutions for the equation [tex]\(2x = 5 + 2x\)[/tex] is 0.

Therefore, the correct answer is:

A. 0
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