Let's solve your equation step-by-step.
3−6(x−7)=42−6x
Step 1: Simplify both sides of the equation.
3−6(x−7)=42−6x
3+(−6)(x)+(−6)(−7)=42+−6x(Distribute)
3+−6x+42=42+−6x
(−6x)+(3+42)=−6x+42(Combine Like Terms)
−6x+45=−6x+42
−6x+45=−6x+42
Step 2: Add 6x to both sides.
−6x+45+6x=−6x+42+6x
45=42
Step 3: Subtract 45 from both sides.
45−45=42−45
0=−3
Therefore, this is No Solutions.