Question

|-25+18| |x |=6 Решение

Answer 1

7х=6

х=6:7

х= $\frac{6}{7}$

Answer 2

To solve the given equation, we need to evaluate the absolute value expression first and then solve for the variable x.

Step 1: Evaluate the absolute value expression |-25 + 18| = |(-7)| = 7

Step 2: Substitute the absolute value result into the equation 7 |x| = 6

Step 3: Solve for x To isolate the variable x, we need to divide both sides of the equation by 7: (7 |x|)/7 = 6/7

Simplifying: |x| = 6/7

Step 4: Solve for x with two cases Case 1: x is positive If x is positive, then |x| is equal to x. Substituting this into the equation: x = 6/7

Case 2: x is negative If x is negative, then |x| is equal to -x. Substituting this into the equation: -x = 6/7

Multiplying both sides by -1: x = -6/7

Therefore, the solution to the equation is x = 6/7 or x = -6/7.