Let's solve this problem step-by-step.
2(4x+2)=4x−12(x−1)
Step 1: Simplify both sides of the equation.
2(4x+2)=4x−12(x−1)
(2)(4x)+(2)(2)=4x+(−12)(x)+(−12)(−1)(Distribute)
8x+4=4x+−12x+12
8x+4=(4x+−12x)+(12)(Combine Like Terms)
8x+4=−8x+12
8x+4=−8x+12
Step 2: Add 8x to both sides.
8x+4+8x=−8x+12+8x
16x+4=12
Step 3: Subtract 4 from both sides.
16x+4−4=12−4
16x=8
Step 4: Divide both sides by 16.
16x/16=8/16
So, the answer for this problem is x=1/2.
