Let's solve your equation step-by-step.
−(1+7x)=6(−7−x)+36
Step 1: Simplify both sides of the equation.
−(1+7x)=6(−7−x)+36
−7x+−1=(6)(−7)+(6)(−x)+36(Distribute)
−7x+−1=−42+−6x+36
−7x−1=(−6x)+(−42+36)(Combine Like Terms)
−7x−1=−6x+−6
−7x−1=−6x−6
Step 2: Add 6x to both sides.
−7x−1+6x=−6x−6+6x
−x−1=−6
Step 3: Add 1 to both sides.
−x−1+1=−6+1
−x=−5
Step 4: Divide both sides by -1.
−x
−1
=
−5
−1
x=5
Answer:
x=5
