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Alchen [17]
3 years ago
10

5(x-3) = 2(x+3) solve for x

Mathematics
2 answers:
sattari [20]3 years ago
4 0

Answer:

7

Step-by-step explanation:

5(x - 3) = 2(x + 3)                     Distribute

5x - 15 = 2x + 6                    

    + 15         + 15                     Switch sides to the liked terms

5x = 2x + 6 + 15

-2x  -2x                                   Switch sides to the liked terms

5x - 2x = 6 + 15  

<u>3x</u> = 21                                      Divide

3       3                  

x = 7

skelet666 [1.2K]3 years ago
3 0

Answer:

x = 7

Step-by-step explanation:

Equation: 5(x-3) = 2(x+3)

Step 1: Simplify the equation.

5 (x − 3) = 2(x + 3)

(5)(x) + (5)(−3) = (2)(x) + (2)(3) Distribute

5x + −15 = 2x + 6

5x − 15 = 2x + 6

Step 2: Subtract 2x.

5x − 15 −2x = 2x + 6 −2x

3x − 15 = 6

Step 3: Add 15.

3x − 15 + 15 = 6 + 15

3x = 21

Step 4: Divide by 3.

\frac{3x}{3} = \frac{21}{3}

Step 5: Divide 21 by 3.

The answer is x = 7.

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Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.
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Step-by-step explanation:

Let the total distance from home to New York is x miles,

\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}

Also, he drove his car from his home to New York at the rate of 45 mph,

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And, returned over the same road at the rate of 40 mph.

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According to the question,

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Hence, the total distance from home to New York = x miles = 360 miles

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3 0
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