Question

solve the equation and simplify your answer. 7(x + 1) = 1 - 2(5 - x) x = -\frac{?}{?}

Explanation:

Step1: Expand both sides

Expand $7(x + 1)$ to get $7x+7$, and expand $1 - 2(5 - x)$ to $1-(10 - 2x)=1 - 10+2x=-9 + 2x$. So the equation becomes $7x+7=-9 + 2x$.

Step2: Move x - terms to one side

Subtract $2x$ from both sides: $7x-2x + 7=-9+2x-2x$, which simplifies to $5x+7=-9$.

Step3: Move constant to the other side

Subtract 7 from both sides: $5x+7 - 7=-9 - 7$, resulting in $5x=-16$.

Step4: Solve for x

Divide both sides by 5: $x=-\frac{16}{5}$.

Answer:

$x =-\frac{16}{5}$