Math  /  Algebra

Question2+x=22+x=-2

Studdy Solution

STEP 1

1. The equation 2+x=2 2 + x = -2 is asking us to solve for x x .
2. This is a one-step linear equation.
3. The equation involves basic algebraic operations, specifically addition and subtraction.

STEP 2

1. Understand the equation.
2. Isolate the variable x x by performing algebraic operations.
3. Verify the solution by substituting it back into the original equation.

STEP 3

The equation 2+x=2 2 + x = -2 indicates that x x added to 2 equals 2-2.

STEP 4

To isolate x x , subtract 2 from both sides of the equation:
2+x2=22 2 + x - 2 = -2 - 2

STEP 5

Simplify both sides:
x=4 x = -4

STEP 6

Check the solution by substituting x=4 x = -4 back into the original equation:
2+(4)=2 2 + (-4) = -2

STEP 7

Simplify the left side:
2=2 -2 = -2
The left-hand side equals the right-hand side, confirming the solution is correct.
Therefore, the solution is:
4 \boxed{-4}

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