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Question Solve for xx if 4(2x+3x)=304(2x + 3x) = 30. Options: A) 1.50, B) 1.75, C) 2.00, D) 2.50.

Studdy Solution

STEP 1

Assumptions1. The equation is 4(x+3x)=304(x +3x) =30 . We need to solve for xx

STEP 2

First, we need to simplify the equation. We can do this by distributing the4 to the terms inside the parentheses.
4(2x +x) =4 \cdot2x +4 \cdotx

STEP 3

Now, calculate the products to simplify the equation further.
⋅2x+⋅3x=8x+12x \cdot2x + \cdot3x =8x +12x

STEP 4

Combine like terms on the left side of the equation.
8x+12x=20x8x +12x =20xSo, the simplified equation is20x=3020x =30

STEP 5

Next, we need to isolate xx on one side of the equation. We can do this by dividing both sides of the equation by20.
20x20=3020\frac{20x}{20} = \frac{30}{20}

STEP 6

implify both sides of the equation to solve for xx.
x=3020x = \frac{30}{20}

STEP 7

implify the fraction on the right side of the equation.
x=1.5x =1.5So, the solution to the equation 4(2x+3x)=304(2x +3x) =30 is x=1.5x =1.5.
The correct answer is A. 1.501.50.

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