If 4-x=3(4x+5), find the value of x.

Correct Answer is : −1113-11/1313−11

Correct Answer is : −1113-11/1313−11

Test Index

BECE Mathematics 2018 Paper

Question : 37

Total: 40

4-x=3(4x+5)

x

Solution:

Concept:

Solve a linear equation by expanding brackets, collecting like terms, and isolating

x

Explanation:

Start with the equation:

4 - x = 3(4x + 5)

Expand the right-hand side:

4 - x = 12x + 15

Bring the

x

terms to one side and constants to the other:

4 - 15 = 12x + x

Simplify both sides:

-11 = 13x

Divide both sides by

13

to solve for

x

\frac{-11}{13} = \frac{13x}{13}

Therefore:

x = \frac{-11}{13}

Answer:

x = \frac{-11}{13}

This matches Option D.

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