Question
Solve the equation
x=1211
Alternative Form
x=0.916˙
Evaluate
9(4−5x)×2=7(6x−7)
Multiply the terms
18(4−5x)=7(6x−7)
Calculate
More Steps

Evaluate
18(4−5x)
Apply the distributive property
18×4−18×5x
Multiply the numbers
72−18×5x
Multiply the numbers
72−90x
72−90x=7(6x−7)
Calculate
More Steps

Evaluate
7(6x−7)
Apply the distributive property
7×6x−7×7
Multiply the numbers
42x−7×7
Multiply the numbers
42x−49
72−90x=42x−49
Move the expression to the left side
72−90x−(42x−49)=0
Calculate
More Steps

Add the terms
72−90x−(42x−49)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
72−90x−42x+49
Add the numbers
121−90x−42x
Subtract the terms
More Steps

Evaluate
−90x−42x
Collect like terms by calculating the sum or difference of their coefficients
(−90−42)x
Subtract the numbers
−132x
121−132x
121−132x=0
Move the constant to the right-hand side and change its sign
−132x=0−121
Removing 0 doesn't change the value,so remove it from the expression
−132x=−121
Change the signs on both sides of the equation
132x=121
Divide both sides
132132x=132121
Divide the numbers
x=132121
Solution
x=1211
Alternative Form
x=0.916˙
Show Solution

Rewrite the equation
12x=11
Evaluate
9(4−5x)×2=7(6x−7)
Evaluate
18(4−5x)=7(6x−7)
Multiply
More Steps

Evaluate
18(4−5x)
Apply the distributive property
18×4−18×5x
Multiply the numbers
72−18×5x
Multiply the numbers
72−90x
72−90x=7(6x−7)
Multiply
More Steps

Evaluate
7(6x−7)
Apply the distributive property
7×6x−7×7
Multiply the numbers
42x−7×7
Multiply the numbers
42x−49
72−90x=42x−49
Move the variable to the left side
72−132x=−49
Move the constant to the right side
−132x=−121
Multiply both sides
132x=121
Solution
12x=11
Show Solution
