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91Ó°ÊÓ

Solve each equation.

x+x+5=5

Short Answer

Expert verified

The solution is x=4.

Step by step solution

01

Step 1. Given Information.

Given, to solve the equation x+x+5=5.

02

Step 2. Calculation.

Simplifying the equation:

x+x+5=5x+x+52=52x+2xx+5+x+5=252xx+5=25−5−2x2xx+5=20−2xxx+5=10−xxx+52=10−x2x2+5x=100−20x+x25x+20x=10025x=100x=4

Checking if the value of x satisfies the equation:

x+x+5=54+4+5=54+9=52+3=55=5

Hence the value of x satisfies the equation.

03

Step 3. Conclusion.

Hence, the solution is x=4.

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