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Math  /  Algebra

Question9−2x=359-2 x=35

Studdy Solution

STEP 1

1. The equation 9−2x=35 9 - 2x = 35 is asking us to solve for x x .
2. This is a linear equation with one variable.
3. The equation involves basic algebraic operations, specifically subtraction and division.

STEP 2

1. Isolate the term containing the variable x x .
2. Solve for x x by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

To isolate the term containing x x , subtract 9 from both sides of the equation:
9−2x−9=35−9 9 - 2x - 9 = 35 - 9
Simplify both sides:
−2x=26 -2x = 26

STEP 4

Now, divide both sides by −2-2 to solve for x x :
−2x−2=26−2 \frac{-2x}{-2} = \frac{26}{-2}
Simplify:
x=−13 x = -13

STEP 5

Check the solution by substituting x=−13 x = -13 back into the original equation:
9−2(−13)=35 9 - 2(-13) = 35
Simplify the left-hand side:
9+26=35 9 + 26 = 35
35=35 35 = 35
Both sides are equal, confirming the solution is correct.
The solution is:
−13 \boxed{-13}

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