Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=−1
Evaluate
2x−∣x−6∣=−9
Move the expression to the left side
2x−∣x−6∣−(−9)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
2x−∣x−6∣+9=0
Separate the equation into 2 possible cases
2x−(x−6)+9=0,x−6≥02x−(−(x−6))+9=0,x−6<0
Solve the equation
More Steps
Evaluate
2x−(x−6)+9=0
Calculate
2x−x+6+9=0
Calculate the sum or difference
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Evaluate
2x−x+6+9
Subtract the terms
x+6+9
Add the numbers
x+15
x+15=0
Move the constant to the right-hand side and change its sign
x=0−15
Removing 0 doesn't change the value,so remove it from the expression
x=−15
x=−15,x−6≥02x−(−(x−6))+9=0,x−6<0
Solve the inequality
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Evaluate
x−6≥0
Move the constant to the right side
x≥0+6
Removing 0 doesn't change the value,so remove it from the expression
x≥6
x=−15,x≥62x−(−(x−6))+9=0,x−6<0
Solve the equation
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Evaluate
2x−(−(x−6))+9=0
Calculate
2x+x−6+9=0
Calculate the sum or difference
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Evaluate
2x+x−6+9
Add the terms
3x−6+9
Add the numbers
3x+3
3x+3=0
Move the constant to the right-hand side and change its sign
3x=0−3
Removing 0 doesn't change the value,so remove it from the expression
3x=−3
Divide both sides
33x=3−3
Divide the numbers
x=3−3
Divide the numbers
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Evaluate
3−3
Reduce the numbers
1−1
Calculate
−1
x=−1
x=−15,x≥6x=−1,x−6<0
Solve the inequality
More Steps
Evaluate
x−6<0
Move the constant to the right side
x<0+6
Removing 0 doesn't change the value,so remove it from the expression
x<6
x=−15,x≥6x=−1,x<6
Find the intersection
x∈∅x=−1,x<6
Find the intersection
x∈∅x=−1
Solution
x=−1
Show Solution
Graph
