Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
∣2x+5∣−3
Evaluate
∣−2x−5∣−3
Solution
∣2x+5∣−3
Show Solution
Find the roots
x1=−4,x2=−1
Evaluate
∣−2x−5∣−3
To find the roots of the expression,set the expression equal to 0
∣−2x−5∣−3=0
Calculate the absolute value
∣2x+5∣−3=0
Move the constant to the right-hand side and change its sign
∣2x+5∣=0+3
Removing 0 doesn't change the value,so remove it from the expression
∣2x+5∣=3
Separate the equation into 2 possible cases
2x+5=32x+5=−3
Solve the equation for x
More Steps
Evaluate
2x+5=3
Move the constant to the right-hand side and change its sign
2x=3−5
Subtract the numbers
2x=−2
Divide both sides
22x=2−2
Divide the numbers
x=2−2
Divide the numbers
More Steps
Evaluate
2−2
Reduce the numbers
1−1
Calculate
−1
x=−1
x=−12x+5=−3
Solve the equation for x
More Steps
Evaluate
2x+5=−3
Move the constant to the right-hand side and change its sign
2x=−3−5
Subtract the numbers
2x=−8
Divide both sides
22x=2−8
Divide the numbers
x=2−8
Divide the numbers
More Steps
Evaluate
2−8
Reduce the numbers
1−4
Calculate
−4
x=−4
x=−1x=−4
Solution
x1=−4,x2=−1
Show Solution