BECE Mathematics 2017 Paper

Question : 8

Total: 40

Solve

2+\frac{x}{3}=1-2x

Solution:

Concept:

Eliminate the fraction by multiplying the whole equation by

3

, then isolate

x

Explanation:

Start with the given equation:

2+\frac{x}{3}=1-2x

Multiply both sides by

3

to remove the denominator:

3\left(2+\frac{x}{3}\right)=3(1-2x)

This simplifies to:

6+x=3-6x

Bring the

x

terms to one side and constants to the other:

x+6x=3-6

Simplify:

7x=-3

Divide both sides by

7

x=-\frac{3}{7}

Answer:

x=-\frac{3}{7}

This matches the option

-\frac{3}{7}

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