Question
Simplify the expression
−52x−14
Evaluate
7(2x−2)−6(x×11)
Remove the parentheses
7(2x−2)−6x×11
Multiply the terms
7(2x−2)−66x
Expand the expression
More Steps

Calculate
7(2x−2)
Apply the distributive property
7×2x−7×2
Multiply the numbers
14x−7×2
Multiply the numbers
14x−14
14x−14−66x
Solution
More Steps

Evaluate
14x−66x
Collect like terms by calculating the sum or difference of their coefficients
(14−66)x
Subtract the numbers
−52x
−52x−14
Show Solution

Factor the expression
−2(26x+7)
Evaluate
7(2x−2)−6(x×11)
Remove the parentheses
7(2x−2)−6x×11
Use the commutative property to reorder the terms
7(2x−2)−6×11x
Multiply the numbers
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Evaluate
6×11
Multiply the numbers
66
Evaluate
66x
7(2x−2)−66x
Simplify
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Evaluate
7(2x−2)
Apply the distributive property
7×2x+7(−2)
Multiply the terms
14x+7(−2)
Multiply the terms
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Evaluate
7(−2)
Multiplying or dividing an odd number of negative terms equals a negative
−7×2
Multiply the numbers
−14
14x−14
14x−14−66x
Subtract the terms
More Steps

Evaluate
14x−66x
Collect like terms by calculating the sum or difference of their coefficients
(14−66)x
Subtract the numbers
−52x
−52x−14
Solution
−2(26x+7)
Show Solution

Find the roots
x=−267
Alternative Form
x=−0.26˙92307˙
Evaluate
7(2x−2)−6(x×11)
To find the roots of the expression,set the expression equal to 0
7(2x−2)−6(x×11)=0
Use the commutative property to reorder the terms
7(2x−2)−6×11x=0
Multiply the numbers
7(2x−2)−66x=0
Calculate
More Steps

Evaluate
7(2x−2)−66x
Expand the expression
More Steps

Calculate
7(2x−2)
Apply the distributive property
7×2x−7×2
Multiply the numbers
14x−7×2
Multiply the numbers
14x−14
14x−14−66x
Subtract the terms
More Steps

Evaluate
14x−66x
Collect like terms by calculating the sum or difference of their coefficients
(14−66)x
Subtract the numbers
−52x
−52x−14
−52x−14=0
Move the constant to the right-hand side and change its sign
−52x=0+14
Removing 0 doesn't change the value,so remove it from the expression
−52x=14
Change the signs on both sides of the equation
52x=−14
Divide both sides
5252x=52−14
Divide the numbers
x=52−14
Solution
More Steps

Evaluate
52−14
Cancel out the common factor 2
26−7
Use b−a=−ba=−ba to rewrite the fraction
−267
x=−267
Alternative Form
x=−0.26˙92307˙
Show Solution
