Question
Solve the equation
x=−51
Alternative Form
x=−0.2
Evaluate
3(x−1)=2x×9
Multiply the terms
3(x−1)=18x
Expand the expression
More Steps

Evaluate
3(x−1)
Apply the distributive property
3x−3×1
Any expression multiplied by 1 remains the same
3x−3
3x−3=18x
Move the variable to the left side
3x−3−18x=0
Subtract the terms
More Steps

Evaluate
3x−18x
Collect like terms by calculating the sum or difference of their coefficients
(3−18)x
Subtract the numbers
−15x
−15x−3=0
Move the constant to the right side
−15x=0+3
Removing 0 doesn't change the value,so remove it from the expression
−15x=3
Change the signs on both sides of the equation
15x=−3
Divide both sides
1515x=15−3
Divide the numbers
x=15−3
Solution
More Steps

Evaluate
15−3
Cancel out the common factor 3
5−1
Use b−a=−ba=−ba to rewrite the fraction
−51
x=−51
Alternative Form
x=−0.2
Show Solution

Rewrite the equation
5x=−1
Evaluate
3(x−1)=2x×9
Evaluate
3(x−1)=18x
Multiply
More Steps

Evaluate
3(x−1)
Apply the distributive property
3x−3×1
Any expression multiplied by 1 remains the same
3x−3
3x−3=18x
Move the variable to the left side
−15x−3=0
Move the constant to the right side
−15x=3
Multiply both sides
15x=−3
Solution
5x=−1
Show Solution
