Question
Function
Find the slope
Find the inverse
Evaluate the derivative
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m=−2
Evaluate
a=2(x−1)−4(x−1)
Simplify
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Evaluate
2(x−1)−4(x−1)
Expand the expression
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Calculate
2(x−1)
Apply the distributive property
2x−2×1
Any expression multiplied by 1 remains the same
2x−2
2x−2−4(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
2x−2−4x+4
Subtract the terms
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Evaluate
2x−4x
Collect like terms by calculating the sum or difference of their coefficients
(2−4)x
Subtract the numbers
−2x
−2x−2+4
Add the numbers
−2x+2
a=−2x+2
Solution
m=−2
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Solve the equation
Solve for x
Solve for a
x=2−a+2
Evaluate
a=2(x−1)−4(x−1)
Simplify
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Evaluate
2(x−1)−4(x−1)
Expand the expression
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Calculate
2(x−1)
Apply the distributive property
2x−2×1
Any expression multiplied by 1 remains the same
2x−2
2x−2−4(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
2x−2−4x+4
Subtract the terms
More Steps

Evaluate
2x−4x
Collect like terms by calculating the sum or difference of their coefficients
(2−4)x
Subtract the numbers
−2x
−2x−2+4
Add the numbers
−2x+2
a=−2x+2
Swap the sides of the equation
−2x+2=a
Move the constant to the right-hand side and change its sign
−2x=a−2
Change the signs on both sides of the equation
2x=−a+2
Divide both sides
22x=2−a+2
Solution
x=2−a+2
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