Math

Question Solve the linear equation 2x14=502x - 14 = 50 for the value of xx.

Studdy Solution

STEP 1

Assumptions
1. We have a linear equation in one variable, xx.
2. The equation is 2x14=502x - 14 = 50.
3. We need to solve for xx.

STEP 2

The first step in solving a linear equation is to isolate the variable on one side of the equation. We will start by adding 1414 to both sides of the equation to move the constant term to the right side.
2x14+14=50+142x - 14 + 14 = 50 + 14

STEP 3

Perform the addition on both sides of the equation.
2x=642x = 64

STEP 4

Now, we need to isolate xx by dividing both sides of the equation by the coefficient of xx, which is 22.
2x2=642\frac{2x}{2} = \frac{64}{2}

STEP 5

Perform the division to solve for xx.
x=32x = 32
The solution to the equation 2x14=502x - 14 = 50 is x=32x = 32.

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