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6x = 7x - 10

Question

6x = 7x - 10

Explanation:

Step1: Subtract \(7x\) from both sides

To isolate the variable \(x\), we subtract \(7x\) from both sides of the equation \(6x = 7x - 10\). This gives us \(6x - 7x = 7x - 10 - 7x\). Simplifying both sides, we have \(-x = -10\).

Step2: Multiply both sides by -1

To solve for \(x\), we multiply both sides of the equation \(-x = -10\) by \(-1\). This gives us \((-1)\times(-x)=(-1)\times(-10)\), which simplifies to \(x = 10\).

Answer:

\(x = 10\)