Step 1: Rewrite the absolute value equation as two linear equations:
Negative case: −2.5x − 6.8 = −12.9 −2.5x + 6.8 = −12.9 2.5x − 6.8 = −12.9
Positive case: −2.5x + 6.8 = 12.9 2.5x − 6.8 = 12.9 2.5x + 6.8 = 12.9

Step 2: Isolate the variable term by adding this value to both sides of the negative case linear equation:
−6.8 6.8 2.5 −2.5

Step 3: Isolate the variable in the negative case equation by: adding 2.5 subtracting 2.5 dividing by 2.5>

Step 4: Solve the positive case linear equation by applying the properties of equality to isolate the variable.
x = −2.44 2.44 −7.88 7.88