Question

Please help!! If possible please show step by step!!thank you!

1. 10x - 5-2 (x+7) = 2 (4-x) + 10x

2. -4x + 5 - 1 (x-4) = 5x + 5 + 4 (1 - 3x)

3. 8 - (9x+6) = 5x + 5 + 4 (1 - 3x)

Answer 1

1. no solution
2. x = 0
3. x = -7/2

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