Math

Question Solve for xx in the equation 2(2.25x+8)=?2(2.25 x + 8) = ?.

Studdy Solution

STEP 1

Assumptions
1. The expression to simplify is 2(2.25x+8)2(2.25x + 8).
2. We will use the distributive property to simplify the expression.

STEP 2

Apply the distributive property, which states that a(b+c)=ab+aca(b+c) = ab + ac, to the given expression.
2(2.25x+8)=22.25x+282(2.25x + 8) = 2 \cdot 2.25x + 2 \cdot 8

STEP 3

Multiply the terms inside the parentheses by 2.
22.25x=4.5x2 \cdot 2.25x = 4.5x 28=162 \cdot 8 = 16

STEP 4

Combine the results of the multiplication to get the simplified expression.
4.5x+164.5x + 16
The simplified expression is 4.5x+164.5x + 16.

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