Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
5x−11
Evaluate
5(3x−3)−2(5x−2)
Expand the expression
More Steps
Calculate
5(3x−3)
Apply the distributive property
5×3x−5×3
Multiply the numbers
15x−5×3
Multiply the numbers
15x−15
15x−15−2(5x−2)
Expand the expression
More Steps
Calculate
−2(5x−2)
Apply the distributive property
−2×5x−(−2×2)
Multiply the numbers
−10x−(−2×2)
Multiply the numbers
−10x−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−10x+4
15x−15−10x+4
Subtract the terms
More Steps
Evaluate
15x−10x
Collect like terms by calculating the sum or difference of their coefficients
(15−10)x
Subtract the numbers
5x
5x−15+4
Solution
5x−11
Show Solution
Find the roots
x=511
Alternative Form
x=2.2
Evaluate
5(3x−3)−2(5x−2)
To find the roots of the expression,set the expression equal to 0
5(3x−3)−2(5x−2)=0
Calculate
More Steps
Evaluate
5(3x−3)−2(5x−2)
Expand the expression
More Steps
Calculate
5(3x−3)
Apply the distributive property
5×3x−5×3
Multiply the numbers
15x−5×3
Multiply the numbers
15x−15
15x−15−2(5x−2)
Expand the expression
More Steps
Calculate
−2(5x−2)
Apply the distributive property
−2×5x−(−2×2)
Multiply the numbers
−10x−(−2×2)
Multiply the numbers
−10x−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−10x+4
15x−15−10x+4
Subtract the terms
More Steps
Evaluate
15x−10x
Collect like terms by calculating the sum or difference of their coefficients
(15−10)x
Subtract the numbers
5x
5x−15+4
Add the numbers
5x−11
5x−11=0
Move the constant to the right-hand side and change its sign
5x=0+11
Removing 0 doesn't change the value,so remove it from the expression
5x=11
Divide both sides
55x=511
Solution
x=511
Alternative Form
x=2.2
Show Solution