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question solve the following equation for x. \\(2x - 2 + 8x = -9x + 4\\…

Question

question
solve the following equation for x.
\\(2x - 2 + 8x = -9x + 4\\)
give your answer as an improper fraction, if necessary.
provide your answer below:
\\(x = \square\\)

Explanation:

Step1: Combine like terms on left

$2x + 8x - 2 = 10x - 2$

Step2: Add 9x to both sides

$10x - 2 + 9x = -9x + 4 + 9x$ → $19x - 2 = 4$

Step3: Add 2 to both sides

$19x - 2 + 2 = 4 + 2$ → $19x = 6$

Step4: Divide by 19

$x = \frac{6}{19}$

Answer:

$\frac{6}{19}$