SOLUTION: Solve the equation. Justify each step. -8x + 7 = -33. (Hint: Show your work. To justify your work, name the Property and operation you used to solve each step of the equation.)

Algebra ->  Equations -> SOLUTION: Solve the equation. Justify each step. -8x + 7 = -33. (Hint: Show your work. To justify your work, name the Property and operation you used to solve each step of the equation.)      Log On


   

Question 255764: Solve the equation. Justify each step. -8x + 7 = -33. (Hint: Show your work. To justify your work, name the Property and operation you used to solve each step of the equation.)
Found 2 solutions by stanbon, drk:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation. Justify each step.
-8x + 7 = -33
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Add 8x to both sides to get:
8x-33 = 7
Add 33 to both sides to get:
8x = 40
Divide both sides by 8 to get:
x = 5
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Cheers,
Stan H.

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
STATEMENT 1: -8x + 7 = -33
REASON 1: given
STATEMENT 2: -8x + 7 -7 = -33 - 7
REASON 2: subtraction property of equality
STATEMENT 3: -8x = -33 - 7
REASON 3: additive inverse property
STATEMENT 4: -8x = -40
REASON 4: distributive property
STATEMENT 5: -8x / -8 = -40 / -8
REASON 5: division property of equality OR multiplicative inverse property.
STATEMENT 6: 1x = 5
REASON 6: distributive property.