Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
13x−27
Evaluate
5(2x−3)−3(4−x)
Expand the expression
More Steps
Calculate
5(2x−3)
Apply the distributive property
5×2x−5×3
Multiply the numbers
10x−5×3
Multiply the numbers
10x−15
10x−15−3(4−x)
Expand the expression
More Steps
Calculate
−3(4−x)
Apply the distributive property
−3×4−(−3x)
Multiply the numbers
−12−(−3x)
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+3x
10x−15−12+3x
Add the terms
More Steps
Evaluate
10x+3x
Collect like terms by calculating the sum or difference of their coefficients
(10+3)x
Add the numbers
13x
13x−15−12
Solution
13x−27
Show Solution
Find the roots
x=1327
Alternative Form
x=2.0˙76923˙
Evaluate
5(2x−3)−3(4−x)
To find the roots of the expression,set the expression equal to 0
5(2x−3)−3(4−x)=0
Calculate
More Steps
Evaluate
5(2x−3)−3(4−x)
Expand the expression
More Steps
Calculate
5(2x−3)
Apply the distributive property
5×2x−5×3
Multiply the numbers
10x−5×3
Multiply the numbers
10x−15
10x−15−3(4−x)
Expand the expression
More Steps
Calculate
−3(4−x)
Apply the distributive property
−3×4−(−3x)
Multiply the numbers
−12−(−3x)
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+3x
10x−15−12+3x
Add the terms
More Steps
Evaluate
10x+3x
Collect like terms by calculating the sum or difference of their coefficients
(10+3)x
Add the numbers
13x
13x−15−12
Subtract the numbers
13x−27
13x−27=0
Move the constant to the right-hand side and change its sign
13x=0+27
Removing 0 doesn't change the value,so remove it from the expression
13x=27
Divide both sides
1313x=1327
Solution
x=1327
Alternative Form
x=2.0˙76923˙
Show Solution