Question
Simplify the expression
18−6x
Evaluate
3(9−2x)−3−6
Expand the expression
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Calculate
3(9−2x)
Apply the distributive property
3×9−3×2x
Multiply the numbers
27−3×2x
Multiply the numbers
27−6x
27−6x−3−6
Solution
18−6x
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Factor the expression
6(3−x)
Evaluate
3(9−2x)−3−6
Subtract the numbers
3(9−2x)−9
Simplify
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Evaluate
3(9−2x)
Apply the distributive property
3×9+3(−2x)
Multiply the terms
27+3(−2x)
Multiply the terms
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Evaluate
3(−2)
Multiplying or dividing an odd number of negative terms equals a negative
−3×2
Multiply the numbers
−6
27−6x
27−6x−9
Subtract the numbers
18−6x
Solution
6(3−x)
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Find the roots
x=3
Evaluate
3(9−2x)−3−6
To find the roots of the expression,set the expression equal to 0
3(9−2x)−3−6=0
Subtract the terms
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Simplify
3(9−2x)−3
Expand the expression
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Calculate
3(9−2x)
Apply the distributive property
3×9−3×2x
Multiply the numbers
27−3×2x
Multiply the numbers
27−6x
27−6x−3
Subtract the numbers
24−6x
24−6x−6=0
Subtract the numbers
18−6x=0
Move the constant to the right-hand side and change its sign
−6x=0−18
Removing 0 doesn't change the value,so remove it from the expression
−6x=−18
Change the signs on both sides of the equation
6x=18
Divide both sides
66x=618
Divide the numbers
x=618
Solution
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Evaluate
618
Reduce the numbers
13
Calculate
3
x=3
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