Math  /  Algebra

QuestionSolve for x in the equation: 211=10x+10+21211 = 10x + 10 + 21.

Studdy Solution
Assumptions. EG = EF + FG2. EG =2113. EF =10x4. FG =10 +212First, we need to set up the equation based on the given information.
EG=EF+FGEG = EF + FG3Now, plug in the given values for EG, EF and FG to form the equation.
211=10x+10+21211 =10x +10 +214implify the right side of the equation by adding10 and21.
211=10x+31211 =10x +315Next, we need to isolate the variable x. We can do this by subtracting31 from both sides of the equation.
21131=10x211 -31 =10x6Calculate the left side of the equation.
180=10x180 =10x7Finally, to solve for x, we need to divide both sides of the equation by10.
x=18010x = \frac{180}{10}8Calculate the value of x.
x=18010=18x = \frac{180}{10} =18So, the value of x is18.

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