Consider the following equation: 2/3x−5=27 What is the first step in solving this equation? (1 point) Responses Multiply both sides by 32 Multiply both sides by 3 halves Divide both sides by 32 Divide both sides by 3 halves Subtract 5 from both sides Subtract 5 from both sides Add 5 to both sides
The first step in solving the equation is to add 5 to both sides.
The first step in solving the equation 2/3x - 5 = 27 is to add 5 to both sides of the equation.
The first step in solving this equation is to add 5 to both sides.
To explain why we need to add 5, we want to isolate the variable x in the equation. Currently, the variable x is being multiplied by 2/3 and then subtracted by 5. By adding 5 to both sides, we can cancel out the subtraction of 5 and move it to the other side of the equation.
Here's how to do it:
Starting with the equation: 2/3x - 5 = 27
Add 5 to both sides:
2/3x - 5 + 5 = 27 + 5
The -5 and +5 cancel each other out on the left side:
2/3x = 32
Now the equation is simplified to 2/3x = 32. We have successfully isolated the variable x by moving the -5 term to the other side of the equation.