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QUESTION IMAGE

solve for x using cross multiplication.\\(\\frac{x + 2}{4} = \\frac{x +…

Question

solve for x using cross multiplication.\\(\frac{x + 2}{4} = \frac{x + 5}{5}\\)\\(x = ?\\)

Explanation:

Step1: Cross multiply the equation

$$5(x+2) = 4(x+5)$$

Step2: Expand both sides

$$5x + 10 = 4x + 20$$

Step3: Isolate x term

$$5x -4x = 20 -10$$

Step4: Simplify to solve for x

$$x = 10$$

Answer:

$10$