Question

solve for x using cross multiplication.
\\(\frac{4x - 4}{7} = \frac{x + 3}{2}\\)
\\(x = ?\\)

Explanation:

Step1: Apply cross - multiplication

Cross - multiplying the equation \(\frac{4x - 4}{7}=\frac{x + 3}{2}\) gives us \(2(4x - 4)=7(x + 3)\).

Step2: Expand both sides

Expanding the left - hand side: \(2\times4x-2\times4 = 8x-8\).
Expanding the right - hand side: \(7\times x+7\times3=7x + 21\).
So the equation becomes \(8x-8 = 7x+21\).

Step3: Solve for x

Subtract \(7x\) from both sides: \(8x-7x-8=7x - 7x+21\), which simplifies to \(x - 8=21\).
Then add 8 to both sides: \(x-8 + 8=21 + 8\).

Answer:

\(x = 29\)