1 What is the solution to below? \( 5+6 x=2 x+7 \) \( x=-3 \quad \) Copy
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To solve the equation \( 5 + 6x = 2x + 7 \), you start by isolating the variable \( x \). First, subtract \( 2x \) from both sides: \( 5 + 4x = 7 \). Next, subtract 5 from both sides: \( 4x = 2 \). Finally, divide by 4 to find: \( x = \frac{1}{2} \). Oops! That's actually different from your proposed solution of \( x = -3 \). So pay attention to the steps, as minor errors can change the result completely! To avoid common mistakes when solving equations, always revisit each operation as you go along. Misplacing a negative sign or skipping steps can lead to confusion. Double-check your calculations by substituting your found value back into the original equation to see if both sides balance. This extra step can save you from potentially wrong conclusions!