Let's solve this problem by step by step.
Layout equation.
2(x−4)=3(x+1)
Step 1: Simplify both sides of the equation.
2(x−4)=3(x+1)
(2)(x)+(2)(−4)=(3)(x)+(3)(1)(Distribute)
2x+−8=3x+3
2x−8=3x+3
Step 2: Subtract 3x from both sides.
2x−8−3x=3x+3−3x
−x−8=3
Step 3: Add 8 to both sides.
−x−8+8=3+8
−x=11
Step 4: Divide both sides by -1.
-x/-1=11/-1 ... KEY You can call -x as -1x.
So the answer is x=-11