Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−5,x2=−3
Evaluate
∣5x−4(x−1)∣=1
Subtract the terms
More Steps
Evaluate
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
Separate the equation into 2 possible cases
x+4=1x+4=−1
Solve the equation for x
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Evaluate
x+4=1
Move the constant to the right-hand side and change its sign
x=1−4
Subtract the numbers
x=−3
x=−3x+4=−1
Solve the equation for x
More Steps
Evaluate
x+4=−1
Move the constant to the right-hand side and change its sign
x=−1−4
Subtract the numbers
x=−5
x=−3x=−5
Solution
x1=−5,x2=−3
Show Solution
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