Question

question solve for x and simplify the answer fully. \\(\frac{2x - 6}{7} = \frac{x + 2}{6}\\) answer attempt 1 out of 2

Explanation:

Step1: Cross-multiply to eliminate fractions

$$6(2x - 6) = 7(x + 2)$$

Step2: Expand both sides

$$12x - 36 = 7x + 14$$

Step3: Isolate x terms on left

$$12x - 7x = 14 + 36$$

Step4: Simplify both sides

$$5x = 50$$

Step5: Solve for x

$$x = \frac{50}{5}$$

Answer:

$x = 10$