Question
Simplify the expression
∣x+4∣
Evaluate
∣5x−4(x−1)∣×1
Subtract the terms
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Simplify
5x−4(x−1)
Expand the expression
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Calculate
−4(x−1)
Apply the distributive property
−4x−(−4×1)
Any expression multiplied by 1 remains the same
−4x−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−4x+4
5x−4x+4
Subtract the terms
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Evaluate
5x−4x
Collect like terms by calculating the sum or difference of their coefficients
(5−4)x
Subtract the numbers
x
x+4
∣x+4∣×1
Solution
∣x+4∣
Show Solution

Find the roots
x=−4
Evaluate
∣5x−4(x−1)∣×1
To find the roots of the expression,set the expression equal to 0
∣5x−4(x−1)∣×1=0
Subtract the terms
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Simplify
5x−4(x−1)
Expand the expression
More Steps

Calculate
−4(x−1)
Apply the distributive property
−4x−(−4×1)
Any expression multiplied by 1 remains the same
−4x−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−4x+4
5x−4x+4
Subtract the terms
More Steps

Evaluate
5x−4x
Collect like terms by calculating the sum or difference of their coefficients
(5−4)x
Subtract the numbers
x
x+4
∣x+4∣×1=0
Any expression multiplied by 1 remains the same
∣x+4∣=0
Rewrite the expression
x+4=0
Move the constant to the right-hand side and change its sign
x=0−4
Solution
x=−4
Show Solution
