(7-4x)-(3x+2)=12

To solve the equation \((7 - 4x) - (3x + 2) = 12\), let's first simplify the left-hand side. 1. Distribute the negative sign through the parentheses: \[ 7 - 4x - 3x - 2 = 12 \] 2. Combine like terms: \[ 7 - 2 - 4x - 3x = 12 \] \[ 5 - 7x = 12 \] 3. Now, isolate the term with \(x\) by subtracting 5 from both sides: \[ -7x = 12 - 5 \] \[ -7x = 7 \] 4. To solve for \(x\), divide both sides by -7: \[ x = \frac{7}{-7} \] \[ x = -1 \] So, the solution to the equation is: \[ \boxed{-1} \]