Let's solve your equation step-by-step.
x+6(x−1)=7(3+x)
Step 1: Simplify both sides of the equation.
x+6(x−1)=7(3+x)
x+(6)(x)+(6)(−1)=(7)(3)+(7)(x)(Distribute)
x+6x+−6=21+7x
(x+6x)+(−6)=7x+21(Combine Like Terms)
7x+−6=7x+21
7x−6=7x+21
Step 2: Subtract 7x from both sides.
7x−6−7x=7x+21−7x
−6=21
Step 3: Add 6 to both sides.
−6+6=21+6
0=27