Solve. 10x \( +5=6 x-7 \) Blank 1

To start solving the equation, you want to isolate the variable \(x\). First, move all terms involving \(x\) to one side and constant terms to the other side: Subtract \(6x\) from both sides: 10x - 6x + 5 = -7 This simplifies to: 4x + 5 = -7 Next, subtract \(5\) from both sides: 4x = -7 - 5 This gives you: 4x = -12 Finally, divide by \(4\) to solve for \(x\): x = -3 So, \(x = -3\). Now you can plug this value back into the original equation to verify it! In these types of equations, it's easy to make a mistake if you rush. Always take the time to carefully move terms around, check each step, and ensure everything balances out. A good tip is to jot down each operation to avoid confusion as you progress.