Solved on Jan 19, 2024

Solve the equation $3.5(2.25+x)=14$ for $x$ .

STEP 1

Assumptions
1. We have the equation $3.5(2.25+x)=14$ .
2. We need to solve for the variable $x$ .

STEP 2

First, we need to distribute the $3.5$ across the terms inside the parentheses.
$3.5 \times 2.25 + 3.5 \times x = 14$

STEP 3

Perform the multiplication for the first term.
$7.875 + 3.5x = 14$

STEP 4

Now, we need to isolate the term with the variable $x$ on one side of the equation. We can do this by subtracting $7.875$ from both sides of the equation.
$3.5x = 14 - 7.875$

STEP 5

Calculate the difference on the right side of the equation.
$3.5x = 6.125$

STEP 6

To find the value of $x$ , we need to divide both sides of the equation by $3.5$ .
$x = \frac{6.125}{3.5}$

STEP 7

Perform the division to solve for $x$ .
$x = 1.75$
Therefore, the solution to the equation $3.5(2.25+x)=14$ is $x=1.75$ .

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Solve the equation $3.5(2.25+x)=14$ for $x$ .

STEP 1

Assumptions
1. We have the equation $3.5(2.25+x)=14$ .
2. We need to solve for the variable $x$ .

STEP 2

First, we need to distribute the $3.5$ across the terms inside the parentheses.
$3.5 \times 2.25 + 3.5 \times x = 14$

STEP 3

Perform the multiplication for the first term.
$7.875 + 3.5x = 14$

STEP 4

Now, we need to isolate the term with the variable $x$ on one side of the equation. We can do this by subtracting $7.875$ from both sides of the equation.
$3.5x = 14 - 7.875$

STEP 5

Calculate the difference on the right side of the equation.
$3.5x = 6.125$

STEP 6

To find the value of $x$ , we need to divide both sides of the equation by $3.5$ .
$x = \frac{6.125}{3.5}$

STEP 7

Perform the division to solve for $x$ .
$x = 1.75$
Therefore, the solution to the equation $3.5(2.25+x)=14$ is $x=1.75$ .

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Solve the equation 3.5(2.25+x)=143.5(2.25+x)=143.5(2.25+x)=14 for xxx.

STEP 1

Assumptions1. We have the equation 3.5(2.25+x)=143.5(2.25+x)=143.5(2.25+x)=14.2. We need to solve for the variable xxx.

STEP 2

First, we need to distribute the 3.53.53.5 across the terms inside the parentheses.3.5×2.25+3.5×x=143.5 \times 2.25 + 3.5 \times x = 143.5×2.25+3.5×x=14

STEP 3

Perform the multiplication for the first term.7.875+3.5x=147.875 + 3.5x = 147.875+3.5x=14

STEP 4

Now, we need to isolate the term with the variable xxx on one side of the equation. We can do this by subtracting 7.8757.8757.875 from both sides of the equation.3.5x=14−7.8753.5x = 14 - 7.8753.5x=14−7.875

STEP 5

Calculate the difference on the right side of the equation.3.5x=6.1253.5x = 6.1253.5x=6.125

STEP 6

To find the value of xxx, we need to divide both sides of the equation by 3.53.53.5.x=6.1253.5x = \frac{6.125}{3.5}x=3.56.125​

STEP 7

Perform the division to solve for xxx.x=1.75x = 1.75x=1.75Therefore, the solution to the equation 3.5(2.25+x)=143.5(2.25+x)=143.5(2.25+x)=14 is x=1.75x=1.75x=1.75.

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

Solve the equation $3.5(2.25+x)=14$ for $x$ .

Assumptions
1. We have the equation $3.5(2.25+x)=14$ .
2. We need to solve for the variable $x$ .

First, we need to distribute the $3.5$ across the terms inside the parentheses.
$3.5 \times 2.25 + 3.5 \times x = 14$

Perform the multiplication for the first term.
$7.875 + 3.5x = 14$

Now, we need to isolate the term with the variable $x$ on one side of the equation. We can do this by subtracting $7.875$ from both sides of the equation.
$3.5x = 14 - 7.875$

Calculate the difference on the right side of the equation.
$3.5x = 6.125$

To find the value of $x$ , we need to divide both sides of the equation by $3.5$ .
$x = \frac{6.125}{3.5}$

Perform the division to solve for $x$ .
$x = 1.75$
Therefore, the solution to the equation $3.5(2.25+x)=14$ is $x=1.75$ .