Respuesta :

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

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