Question
Solve the equation
x=1753
Alternative Form
x≈3.117647
Evaluate
12(x−3)×18=4(3x−3)
Multiply the terms
216(x−3)=4(3x−3)
Calculate
More Steps

Evaluate
216(x−3)
Apply the distributive property
216x−216×3
Multiply the numbers
216x−648
216x−648=4(3x−3)
Calculate
More Steps

Evaluate
4(3x−3)
Apply the distributive property
4×3x−4×3
Multiply the numbers
12x−4×3
Multiply the numbers
12x−12
216x−648=12x−12
Move the expression to the left side
216x−648−(12x−12)=0
Calculate
More Steps

Add the terms
216x−648−(12x−12)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
216x−648−12x+12
Subtract the terms
More Steps

Evaluate
216x−12x
Collect like terms by calculating the sum or difference of their coefficients
(216−12)x
Subtract the numbers
204x
204x−648+12
Add the numbers
204x−636
204x−636=0
Move the constant to the right-hand side and change its sign
204x=0+636
Removing 0 doesn't change the value,so remove it from the expression
204x=636
Divide both sides
204204x=204636
Divide the numbers
x=204636
Solution
x=1753
Alternative Form
x≈3.117647
Show Solution

Rewrite the equation
17x=53
Evaluate
12(x−3)×18=4(3x−3)
Evaluate
216(x−3)=4(3x−3)
Multiply
More Steps

Evaluate
216(x−3)
Apply the distributive property
216x−216×3
Multiply the numbers
216x−648
216x−648=4(3x−3)
Multiply
More Steps

Evaluate
4(3x−3)
Apply the distributive property
4×3x−4×3
Multiply the numbers
12x−4×3
Multiply the numbers
12x−12
216x−648=12x−12
Move the variable to the left side
204x−648=−12
Move the constant to the right side
204x=636
Solution
17x=53
Show Solution
