Question

1,6*(-8)+|7x-14,7|=-12,8

Answer 1

1,6*(-8)+|7x-14.7| = -12.8
-12.8 + 7x+14.7 = -12.8
7x= -12.8+12.8-14.7
7x=-14.7
x= -14.7:7
x=-2.1

Answer 2

To solve the equation 1.6*(-8) + |7x - 14.7| = -12.8, we can follow these steps:

Step 1: Simplify the equation 1.6 * (-8) = -12.8 |-12.8| = 12.8

So the equation becomes: -12.8 + |7x - 14.7| = -12.8

Step 2: Eliminate the absolute value by considering two cases: Case 1: 7x - 14.7 ≥ 0 (When the expression inside the absolute value is positive or zero) In this case, we can remove the absolute value signs.

-12.8 + (7x - 14.7) = -12.8

Simplify: 7x - 27.5 = 0

Step 3: Solve for x in Case 1 Add 27.5 to both sides of the equation: 7x = 27.5

Divide both sides by 7: x = 27.5 / 7

x ≈ 3.9286

Case 2: 7x - 14.7 < 0 (When the expression inside the absolute value is negative) In this case, we need to negate the expression inside the absolute value signs.

-12.8 + (-(7x - 14.7)) = -12.8

Simplify: -12.8 - 7x + 14.7 = -12.8

Combine like terms: -7x + 1.9 = -12.8

Step 4: Solve for x in Case 2 Subtract 1.9 from both sides of the equation: -7x = -12.8 - 1.9

Simplify: -7x = -14.7

Divide both sides by -7 (remember to flip the inequality when dividing by a negative number): x = -14.7 / -7

x ≈ 2.1

Step 5: Final Solution The solution to the equation 1.6*(-8) + |7x - 14.7| = -12.8 is x ≈ 3.9286 or x ≈ 2.1.