To solve the equation \(6x + 7 - 2x = 3\), follow these steps:
Combine like terms on the left side: \[ (6x - 2x) + 7 = 3 \] This simplifies to: \[ 4x + 7 = 3 \]
Subtract 7 from both sides to isolate the term with \(x\): \[ 4x + 7 - 7 = 3 - 7 \] This simplifies to: \[ 4x = -4 \]
Divide both sides by 4 to solve for \(x\): \[ x = \frac{-4}{4} \] Simplifying this gives: \[ x = -1 \]
Thus, the solution to the equation \(6x + 7 - 2x = 3\) is \(x = -1\).