Let's solve this problem step by step.
−2(1−3x)=22−3(x−13)
Step 1: Simplify both sides of the equation.
(−2)(1)+(−2)(−3x)=22+(−3)(x)+(−3)(−13)(Distribute)
−2+6x=22+−3x+39
6x−2=(−3x)+(22+39)(Combine Like Terms)
6x−2=−3x+61
Step 2: Add 3x to both sides.
6x−2+3x=−3x+61+3x
9x−2=61
Step 3: Add 2 to both sides.
9x−2+2=61+2
9x=63
Step 4: Divide both sides by 9.
9x/9=63/9
So, the answer to this problem is x=7.
