Question
Solve the equation
x=−7
Evaluate
11−5x=2(3−4x)−16
Move the expression to the left side
11−5x−(2(3−4x)−16)=0
Subtract the terms
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Evaluate
11−5x−(2(3−4x)−16)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
11−5x−2(3−4x)+16
Add the numbers
27−5x−2(3−4x)
27−5x−2(3−4x)=0
Calculate
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Evaluate
27−5x−2(3−4x)
Expand the expression
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Calculate
−2(3−4x)
Apply the distributive property
−2×3−(−2×4x)
Multiply the numbers
−6−(−2×4x)
Multiply the numbers
−6−(−8x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−6+8x
27−5x−6+8x
Subtract the numbers
21−5x+8x
Add the terms
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Evaluate
−5x+8x
Collect like terms by calculating the sum or difference of their coefficients
(−5+8)x
Add the numbers
3x
21+3x
21+3x=0
Move the constant to the right-hand side and change its sign
3x=0−21
Removing 0 doesn't change the value,so remove it from the expression
3x=−21
Divide both sides
33x=3−21
Divide the numbers
x=3−21
Solution
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Evaluate
3−21
Reduce the numbers
1−7
Calculate
−7
x=−7
Show Solution

Rewrite the equation
x=−7
Evaluate
11−5x=2(3−4x)−16
Evaluate
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Evaluate
2(3−4x)−16
Expand the expression
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Calculate
2(3−4x)
Apply the distributive property
2×3−2×4x
Multiply the numbers
6−2×4x
Multiply the numbers
6−8x
6−8x−16
Subtract the numbers
−10−8x
11−5x=−10−8x
Move the variable to the left side
11+3x=−10
Move the constant to the right side
3x=−21
Solution
x=−7
Show Solution
