Answer:
- no solution
- x = 0
- x = -7/2
Step-by-step explanation:
We can solve all of these by subtracting the right side of the equation from both sides, simplifying, then dividing by the coefficient of x.
1. (10x -5 -2(x +7)) -(2(4 -x) +10x) = 0
10x -5 -2x -14 -(8 -2x +10x) = 0
(10 -2 +2 -10)x +(-5 -14 -8) = 0
-27 = 0 . . . . . . no value of x will make this true: no solution
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2. (-4x +5 -1(x -4)) -(5x +5 +4(1 -3x)) = 0
-4x +5 -x +4 -5x -5 -4 +12x = 0
(-4 -1 -5 +12)x +(5 +4 -5 -4) = 0 . . . . . collect terms
2x = 0 . . . . . simplify
x = 0 . . . . . . divide by 2
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3. (8 -(9x +6)) -(5x +5 +4(1 -3x)) = 0
8 -9x -6 -5x -5 -4 +12x = 0
(-9 -5 +12)x +(8 -6 -5 -4) = 0 . . . . collect terms
-2x -7 = 0 . . . . simplify
x +7/2 = 0 . . . . divide by -2
x = -7/2 . . . . . . subtract 7/2
