Given the equation 5x + 23 = -2x - 12, which order of operations completely solves for x
Subtract 5x, then subtract 23, lastly divide by −7
Subtract 2x, then add −23, lastly divide by 7
Add 5x, then subtract 12, lastly divide by 7
Add 2x, then subtract 23, lastly divide by 7
Solution:
5x + 23 = -2x - 12 [Given]
We solve for x, by isolating the variable by the following steps.
Step 1:
By the balancing method in solving the equation, we add 2x on both sides.
5x + 23 + 2x = -2x - 12 + 2x
5x + 2x = - 12 - 23
Step 2:
We add 23 on both sides.
5x + 2x + 23 = - 12 - 23 + 23
So we get
7x = - 35
Step 3:
Divide both sides by 7, by division property of equality
7x/7 = - 35/7
x = - 5
Therefore, add 2x, then subtract 23, lastly divide by 7 completely solves for x.
Given the equation 5x + 23 = -2x - 12, which order of operations completely solves for x
Subtract 5x, then subtract 23, lastly divide by −7
Subtract 2x, then add −23, lastly divide by 7
Add 5x, then subtract 12, lastly divide by 7
Add 2x, then subtract 23, lastly divide by 7
Summary:
Given the equation 5x + 23 = -2x - 12, add 2x, then subtract 23, lastly divide by 7 completely solves for x.
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