Answer: x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
3(x+1)=−2(x−1)+6
Step 1: Simplify both sides of the equation.
3(x+1)=−2(x−1)+6
(3)(x)+(3)(1)=(−2)(x)+(−2)(−1)+6(Distribute)
3x+3=−2x+2+6
3x+3=(−2x)+(2+6)(Combine Like Terms)
3x+3=−2x+8
3x+3=−2x+8
Step 2: Add 2x to both sides.
3x+3+2x=−2x+8+2x
5x+3=8
Step 3: Subtract 3 from both sides.
5x+3−3=8−3
5x=5
Step 4: Divide both sides by 5.
5x /5=5/5