How do you find the measurements of two opposite sides of a rectangle when given x+10=2x+8?

Combine common terms by subtracting x and 8 from both sides.

2 = x

Substitute that value into the equation.

x + 10 = 2x + 8 = 2 opposite sides.

2x - x = 10-8,
X = 2.

2 + 10 = 2*2 + 8,
12 = 12 = The 2 opposite sides.

To find the measurements of two opposite sides of a rectangle when given an equation like x + 10 = 2x + 8, we can follow these steps:

Step 1: Understand the given equation. The equation x + 10 = 2x + 8 represents a relationship between the unknown variable x and the lengths of the sides of a rectangle. The left side of the equation represents the length of one side of the rectangle, while the right side represents the length of the opposite side.

Step 2: Simplify the equation. To isolate the variable x, we can simplify the equation by combining like terms. Subtracting x from both sides of the equation gives us 10 = x + 8.

Step 3: Solve for x. To find the value of x, we need to isolate it on one side of the equation. By subtracting 8 from both sides, we get x = 2.

Step 4: Substitute the value of x. Now that we know x = 2, we can substitute this value back into the original equation to find the lengths of the two opposite sides of the rectangle. Plugging in x = 2, we have:

Side1 = x + 10 = 2 + 10 = 12
Side2 = 2x + 8 = 2(2) + 8 = 4 + 8 = 12

Therefore, the lengths of the two opposite sides of the rectangle are both 12 units.