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Solve. 6x - 10 = 4x + 1 x = ..............................................[3] - OCR - GCSE Maths - Question 5 - 2019 - Paper 1

Question 5

Solve. 6x - 10 = 4x + 1 x = ..............................................[3]

Worked Solution & Example Answer:Solve. 6x - 10 = 4x + 1 x = ..............................................[3] - OCR - GCSE Maths - Question 5 - 2019 - Paper 1

Step 1

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Answer

Start with the equation:

$6x - 10 = 4x + 1$

To isolate the variable terms on one side, subtract $4x$ from both sides:

$6x - 4x - 10 = 1$

This simplifies to:

$2x - 10 = 1$

Step 2

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Answer

Next, add $10$ to both sides to further isolate $x$ :

$2x - 10 + 10 = 1 + 10$

This results in:

$2x = 11$

Step 3

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Answer

Finally, divide both sides by $2$ to solve for $x$ :

$x = \frac{11}{2}$

Therefore, the solution is:

$x = 5.5$

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