Question

MEDALS FOR BEST ANSWERS.
Solve for x: -3(x + 3) = -3(x + 1) - 5.
Solve for x: 3x - 5 = 2x + 6.
Solve for x: 3(x + 1) = -2(x - 1) - 4.

Answer 1

-3(x + 3) = -3(x + 1) - 5 --- distribute through the parenthesis
-3x - 9 = -3x - 3 - 5 --- combine like terms
-3x - 9 = -3x - 8
-3x + 3x = - 8 + 9
0 = 1 (incorrect)
There is no solution to this problem
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3x - 5 = 2x + 6 (subtract 2x from both sides)
3x - 2x - 5 = 6 (add 5 to both sides)
3x - 2x = 6 + 5 (combine like terms)
x = 11
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3(x + 1) = -2(x - 1) - 4 -- distribute through the parenthesis
3x + 3 = -2x + 2 - 4 -- combine like terms
3x + 3 = -2x + 2 -- add 2x to both sides
3x + 2x + 3 = 2 -- subtract 3 from both sides
3x + 2x = 2 - 3 -- combine like terms
x = -1

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