Answer:
1. B) x = 6
2. No solutions
3. D) x = 4
4. A) x = -4
Explanation:
1. -4x + 8 = -3x + 2
8 = x + 2 ==> add 4x on both sides to move x to one side of the equation
x = 6 ==> subtract 2 on both sides
B. x = 6
2. 9x - 7 = 5x - 19
4x - 7 = -19 ==> subtract 5x on both sides to move x to one side of the
equation
4x = -12 ==> add 7 on both sides to isolate x
x = -3 ==> divide 4 on both sides
x = -3 isn't one of the options, so problem 2 has no solutions.
3. 2x - 7 = 5x - 19
-7 = 3x - 19 ==> subtract 3x on both sides to move x to one side of the
equation
12 = 3x ==> isolate x by adding 19 on both sides
x = 4 ==> divide both sides by 3
D. x = 4
4. -7x + 3 = -3x +19
3 = 4x + 19 ==> add 7x on both sides to move x to one side of the equation
-16 = 4x ==> subtract 19 on both sides to isolate x
x = -4 ==> divide both sides by 4
A. x = -4