Math

Question Solve the linear equation 2x6=102x - 6 = 10 for the value of xx.

Studdy Solution

STEP 1

Assumptions
1. We are solving the linear equation 2x6=102x - 6 = 10 for the variable xx.

STEP 2

First, we want to isolate the term containing the variable xx on one side of the equation. To do this, we will add 66 to both sides of the equation to cancel out the 6-6 on the left side.
2x6+6=10+62x - 6 + 6 = 10 + 6

STEP 3

Perform the addition on both sides of the equation.
2x=162x = 16

STEP 4

Now, we need to solve for xx. Since 2x2x means 22 times xx, we will divide both sides of the equation by 22 to isolate xx.
2x2=162\frac{2x}{2} = \frac{16}{2}

STEP 5

Perform the division on both sides of the equation.
x=8x = 8
The solution to the equation 2x6=102x - 6 = 10 is x=8x = 8.

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