Which of the following four equations has the solution of the lowest value?
options:
x - 7 = 28
x - 6 = -16
x + 19 = -5
x + 25 = 2
To find the solution with the lowest value, we can rearrange each equation to solve for $x$.
For the equation $x - 7 = 28$, we can add $7$ to both sides: $$x - 7 + 7 = 28 + 7.$$ Simplifying gives $x = 35$.
For the equation $x - 6 = -16$, we can add $6$ to both sides: $$x - 6 + 6 = -16 + 6.$$ Simplifying gives $x = -10$.
For the equation $x + 19 = -5$, we can subtract $19$ from both sides: $$x + 19 - 19 = -5 - 19.$$ Simplifying gives $x = -24$.
For the equation $x + 25 = 2$, we can subtract $25$ from both sides: $$x + 25 - 25 = 2 - 25.$$ Simplifying gives $x = -23$.
We can see that $-24$ is the solution with the lowest value among $-24$, $-23$, $-10$, and $35$. Hence, the equation $x + 19 = -5$ has the solution with the lowest value.