Question
Simplify the expression
5x−14
Evaluate
5(4x−4)−3(5x−2)
Expand the expression
More Steps

Calculate
5(4x−4)
Apply the distributive property
5×4x−5×4
Multiply the numbers
20x−5×4
Multiply the numbers
20x−20
20x−20−3(5x−2)
Expand the expression
More Steps

Calculate
−3(5x−2)
Apply the distributive property
−3×5x−(−3×2)
Multiply the numbers
−15x−(−3×2)
Multiply the numbers
−15x−(−6)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−15x+6
20x−20−15x+6
Subtract the terms
More Steps

Evaluate
20x−15x
Collect like terms by calculating the sum or difference of their coefficients
(20−15)x
Subtract the numbers
5x
5x−20+6
Solution
5x−14
Show Solution

Find the roots
x=514
Alternative Form
x=2.8
Evaluate
5(4x−4)−3(5x−2)
To find the roots of the expression,set the expression equal to 0
5(4x−4)−3(5x−2)=0
Calculate
More Steps

Evaluate
5(4x−4)−3(5x−2)
Expand the expression
More Steps

Calculate
5(4x−4)
Apply the distributive property
5×4x−5×4
Multiply the numbers
20x−5×4
Multiply the numbers
20x−20
20x−20−3(5x−2)
Expand the expression
More Steps

Calculate
−3(5x−2)
Apply the distributive property
−3×5x−(−3×2)
Multiply the numbers
−15x−(−3×2)
Multiply the numbers
−15x−(−6)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−15x+6
20x−20−15x+6
Subtract the terms
More Steps

Evaluate
20x−15x
Collect like terms by calculating the sum or difference of their coefficients
(20−15)x
Subtract the numbers
5x
5x−20+6
Add the numbers
5x−14
5x−14=0
Move the constant to the right-hand side and change its sign
5x=0+14
Removing 0 doesn't change the value,so remove it from the expression
5x=14
Divide both sides
55x=514
Solution
x=514
Alternative Form
x=2.8
Show Solution
