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