book Maths Puzzle Numerical Ability

I am having trouble figuring out this problem. Could you please help me?

9x + 7 = 5x - 3

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book Other Question

Why does the absolute value of x-2=-4 have no solution. I can work these problems out but I don't understand why some have no solutions. hey i want you to show me step-by-step how to solve and graph this equation on a graphing calculator and then how to grph it on paper.
y={x+6}