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Solve $$\frac{5 - x}{2} = 2x - 7$$ - Edexcel - GCSE Maths - Question 8 - 2018 - Paper 3

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Solve--$$\frac{5---x}{2}-=-2x---7$$-Edexcel-GCSE Maths-Question 8-2018-Paper 3.png

Solve $$\frac{5 - x}{2} = 2x - 7$$

Worked Solution & Example Answer:Solve $$\frac{5 - x}{2} = 2x - 7$$ - Edexcel - GCSE Maths - Question 8 - 2018 - Paper 3

Step 1

First Step

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Answer

To begin, we'll eliminate the fraction by multiplying both sides of the equation by 2:

5−x=2(2x−7)5 - x = 2(2x - 7)

This simplifies to:

5−x=4x−145 - x = 4x - 14

Step 2

Isolate Terms

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Answer

Next, we need to isolate the variable x. We can do this by adding x to both sides:

5=5x−145 = 5x - 14

Then we'll add 14 to both sides:

19=5x19 = 5x

Step 3

Solve for x

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Answer

The final step is to divide both sides by 5 to solve for x:

x=195x = \frac{19}{5}

Thus, the solution for x is:

x=3.8x = 3.8

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