Question
Simplify the expression
10x−24
Evaluate
4(x−3)−3(4−2x)
Expand the expression
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Calculate
4(x−3)
Apply the distributive property
4x−4×3
Multiply the numbers
4x−12
4x−12−3(4−2x)
Expand the expression
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Calculate
−3(4−2x)
Apply the distributive property
−3×4−(−3×2x)
Multiply the numbers
−12−(−3×2x)
Multiply the numbers
−12−(−6x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−12+6x
4x−12−12+6x
Add the terms
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Evaluate
4x+6x
Collect like terms by calculating the sum or difference of their coefficients
(4+6)x
Add the numbers
10x
10x−12−12
Solution
10x−24
Show Solution

Factor the expression
2(5x−12)
Evaluate
4(x−3)−3(4−2x)
Simplify
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Evaluate
4(x−3)
Apply the distributive property
4x+4(−3)
Multiply the terms
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Evaluate
4(−3)
Multiplying or dividing an odd number of negative terms equals a negative
−4×3
Multiply the numbers
−12
4x−12
4x−12−3(4−2x)
Simplify
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Evaluate
−3(4−2x)
Apply the distributive property
−3×4−3(−2x)
Multiply the terms
−12−3(−2x)
Multiply the terms
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Evaluate
−3(−2)
Multiplying or dividing an even number of negative terms equals a positive
3×2
Multiply the numbers
6
−12+6x
4x−12−12+6x
Add the terms
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Evaluate
4x+6x
Collect like terms by calculating the sum or difference of their coefficients
(4+6)x
Add the numbers
10x
10x−12−12
Subtract the numbers
10x−24
Solution
2(5x−12)
Show Solution

Find the roots
x=512
Alternative Form
x=2.4
Evaluate
4(x−3)−3(4−2x)
To find the roots of the expression,set the expression equal to 0
4(x−3)−3(4−2x)=0
Calculate
More Steps

Evaluate
4(x−3)−3(4−2x)
Expand the expression
More Steps

Calculate
4(x−3)
Apply the distributive property
4x−4×3
Multiply the numbers
4x−12
4x−12−3(4−2x)
Expand the expression
More Steps

Calculate
−3(4−2x)
Apply the distributive property
−3×4−(−3×2x)
Multiply the numbers
−12−(−3×2x)
Multiply the numbers
−12−(−6x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−12+6x
4x−12−12+6x
Add the terms
More Steps

Evaluate
4x+6x
Collect like terms by calculating the sum or difference of their coefficients
(4+6)x
Add the numbers
10x
10x−12−12
Subtract the numbers
10x−24
10x−24=0
Move the constant to the right-hand side and change its sign
10x=0+24
Removing 0 doesn't change the value,so remove it from the expression
10x=24
Divide both sides
1010x=1024
Divide the numbers
x=1024
Solution
x=512
Alternative Form
x=2.4
Show Solution
