CEMC Pascal

Algebra Difficulty 1.8 Junior Find the answer

If $4x + 14 = 8x - 48$ , what is the value of $2x$ ?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Since $4x + 14 = 8x - 48$ , then $14 + 48 = 8x - 4x$ or $62 = 4x$ . Dividing both sides of this equation by 2, we obtain $\frac{4x}{2} = \frac{62}{2}$ which gives $2x = 31$ .

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