What value of g would make the following expressions equivalent? −3(x−4)+2 and −3x+14−g
To find the value of g that would make the two expressions equivalent, we need to set the two expressions equal to each other and solve for g.
−3(x−4)+2 = −3x+14−g
Distribute the -3 on the left side:
−3x + 12 + 2 = −3x + 14 − g
Combine like terms:
−3x + 14 = −3x + 12 − g
Since the -3x term appears on both sides, we can cancel it out:
14 = 12 - g
Subtract 12 from both sides:
2 = -g
Divide both sides by -1:
-2 = g
Therefore, the value of g that would make the two expressions equivalent is -2.