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Question

10+10x=5x+5
Is the solution of the above equation 3?

A
yes
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B
no
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C
cannot be determined
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Solution

The correct option is B no
Given, 10+10x=5x+5

Step 1: Subtract both sides of the equation by 10 to eliminate 10 on the left side of the equation.
10+10x10=5x+51010x=5x5

Step 2: Subtract both sides of the equation by 5x to eliminate 5x on the right side of the equation.
10x5x=5x55x
5x=5

Step 3: Now, divide both sides by 5 to eliminate 5 on the left side of the equation.
5x5=55
x=1 is the solution of the equation 10+10x=5x+5.

Hence given solution x = 1 is not the solution for the above equation.

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