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Solve $5x - 6 = 3(2x - 1)$ $\text{(Total for Question 1 is 3 marks)}$ - Edexcel - GCSE Maths - Question 1 - 2017 - Paper 2

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Question 1

Solve-$5x---6-=-3(2x---1)$--$\text{(Total-for-Question-1-is-3-marks)}$-Edexcel-GCSE Maths-Question 1-2017-Paper 2.png

Solve $5x - 6 = 3(2x - 1)$ $\text{(Total for Question 1 is 3 marks)}$

Worked Solution & Example Answer:Solve $5x - 6 = 3(2x - 1)$ $\text{(Total for Question 1 is 3 marks)}$ - Edexcel - GCSE Maths - Question 1 - 2017 - Paper 2

Step 1

Correct expansion of the bracket or distributing all terms by 3 as a first step

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Answer

Start by expanding the equation: 5x−6=3(2x−1)5x - 6 = 3(2x - 1)

Distributing the 3 on the right side yields: 5x−6=6x−35x - 6 = 6x - 3

Step 2

Rearranging terms to one side of the equation

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Answer

Next, we can rearrange the equation by moving all terms involving x to one side: 5x−6x=−3+65x - 6x = -3 + 6

This simplifies to: −x=3-x = 3

Step 3

Final solution for x

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Answer

Now, to solve for x, divide both sides by -1: x=−3x = -3

Thus, the solution to the equation is: x=−3x = -3

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