Question

solve for x using cross multiplication.
\\(\frac{2x + 2}{11} = \frac{x - 4}{6}\\)
\\(x = ?\\)

Explanation:

Step1: Apply cross - multiplication

Cross - multiply the fractions \(\frac{2x + 2}{11}=\frac{x - 4}{6}\). According to the cross - multiplication rule \(\frac{a}{b}=\frac{c}{d}\) implies \(a\times d=b\times c\). So we get \((2x + 2)\times6=(x - 4)\times11\).

Step2: Expand both sides

Expand the left - hand side: \(12x+12\). Expand the right - hand side: \(11x-44\). Now the equation is \(12x + 12=11x-44\).

Step3: Solve for x

Subtract \(11x\) from both sides: \(12x-11x + 12=11x-11x-44\), which simplifies to \(x + 12=-44\). Then subtract 12 from both sides: \(x+12 - 12=-44-12\), so \(x=-56\).

Answer:

\(x = - 56\)