Solved on Oct 29, 2023

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

STEP 1

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

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.
$\cdot2x + \cdot3x =8x +12x$

STEP 4

Combine like terms on the left side of the equation.
$8x +12x =20x$ So, the simplified equation is $20x =30$

STEP 5

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

STEP 6

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

STEP 7

implify the fraction on the right side of the equation.
$x =1.5$ So, the solution to the equation $4(2x +3x) =30$ is $x =1.5$ .
The correct answer is A. $1.50$ .

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

STEP 1

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

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.
$\cdot2x + \cdot3x =8x +12x$

STEP 4

Combine like terms on the left side of the equation.
$8x +12x =20x$ So, the simplified equation is $20x =30$

STEP 5

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

STEP 6

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

STEP 7

implify the fraction on the right side of the equation.
$x =1.5$ So, the solution to the equation $4(2x +3x) =30$ is $x =1.5$ .
The correct answer is A. $1.50$ .

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

STEP 1

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

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⋅2x+⋅3x=8x+12x

STEP 4

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

STEP 5

Next, we need to isolate xxx 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}2020x​=2030​

STEP 6

implify both sides of the equation to solve for xxx.x=3020x = \frac{30}{20}x=2030​

STEP 7

implify the fraction on the right side of the equation.x=1.5x =1.5x=1.5So, the solution to the equation 4(2x+3x)=304(2x +3x) =304(2x+3x)=30 is x=1.5x =1.5x=1.5.The correct answer is A. 1.501.501.50.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

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

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

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

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

Combine like terms on the left side of the equation.
$8x +12x =20x$ So, the simplified equation is $20x =30$

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

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

implify the fraction on the right side of the equation.
$x =1.5$ So, the solution to the equation $4(2x +3x) =30$ is $x =1.5$ .
The correct answer is A. $1.50$ .