Question
Solve the equation
x=5
Evaluate
6x−8=5x−3(x−4)
Move the expression to the left side
6x−8−(5x−3(x−4))=0
Subtract the terms
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Evaluate
6x−8−(5x−3(x−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
6x−8−5x+3(x−4)
Subtract the terms
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Evaluate
6x−5x
Collect like terms by calculating the sum or difference of their coefficients
(6−5)x
Subtract the numbers
x
x−8+3(x−4)
x−8+3(x−4)=0
Calculate the sum or difference
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Evaluate
x−8+3(x−4)
Expand the expression
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Calculate
3(x−4)
Apply the distributive property
3x−3×4
Multiply the numbers
3x−12
x−8+3x−12
Add the terms
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Evaluate
x+3x
Collect like terms by calculating the sum or difference of their coefficients
(1+3)x
Add the numbers
4x
4x−8−12
Subtract the numbers
4x−20
4x−20=0
Move the constant to the right-hand side and change its sign
4x=0+20
Removing 0 doesn't change the value,so remove it from the expression
4x=20
Divide both sides
44x=420
Divide the numbers
x=420
Solution
More Steps

Evaluate
420
Reduce the numbers
15
Calculate
5
x=5
Show Solution

Rewrite the equation
x=5
Evaluate
6x−8=5x−3(x−4)
Evaluate
More Steps

Evaluate
5x−3(x−4)
Expand the expression
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Calculate
−3(x−4)
Apply the distributive property
−3x−(−3×4)
Multiply the numbers
−3x−(−12)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−3x+12
5x−3x+12
Subtract the terms
More Steps

Evaluate
5x−3x
Collect like terms by calculating the sum or difference of their coefficients
(5−3)x
Subtract the numbers
2x
2x+12
6x−8=2x+12
Move the variable to the left side
4x−8=12
Move the constant to the right side
4x=20
Solution
x=5
Show Solution
