Question
Solve the equation
x=2097
Alternative Form
x=4.85
Evaluate
6(5−x)×15=5(2x−7)
Multiply the terms
90(5−x)=5(2x−7)
Calculate
More Steps

Evaluate
90(5−x)
Apply the distributive property
90×5−90x
Multiply the numbers
450−90x
450−90x=5(2x−7)
Calculate
More Steps

Evaluate
5(2x−7)
Apply the distributive property
5×2x−5×7
Multiply the numbers
10x−5×7
Multiply the numbers
10x−35
450−90x=10x−35
Move the expression to the left side
450−90x−(10x−35)=0
Calculate
More Steps

Add the terms
450−90x−(10x−35)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
450−90x−10x+35
Add the numbers
485−90x−10x
Subtract the terms
More Steps

Evaluate
−90x−10x
Collect like terms by calculating the sum or difference of their coefficients
(−90−10)x
Subtract the numbers
−100x
485−100x
485−100x=0
Move the constant to the right-hand side and change its sign
−100x=0−485
Removing 0 doesn't change the value,so remove it from the expression
−100x=−485
Change the signs on both sides of the equation
100x=485
Divide both sides
100100x=100485
Divide the numbers
x=100485
Solution
x=2097
Alternative Form
x=4.85
Show Solution

Rewrite the equation
20x=97
Evaluate
6(5−x)×15=5(2x−7)
Evaluate
90(5−x)=5(2x−7)
Multiply
More Steps

Evaluate
90(5−x)
Apply the distributive property
90×5−90x
Multiply the numbers
450−90x
450−90x=5(2x−7)
Multiply
More Steps

Evaluate
5(2x−7)
Apply the distributive property
5×2x−5×7
Multiply the numbers
10x−5×7
Multiply the numbers
10x−35
450−90x=10x−35
Move the variable to the left side
450−100x=−35
Move the constant to the right side
−100x=−485
Multiply both sides
100x=485
Solution
20x=97
Show Solution
