Question
Solve the equation
x=−645
Alternative Form
x=−0.078125
Evaluate
3(6x−5)−7(3x×10)=0
Remove the parentheses
3(6x−5)−7×3x×10=0
Multiply the terms
More Steps

Evaluate
7×3×10
Multiply the terms
21×10
Multiply the numbers
210
3(6x−5)−210x=0
Calculate
More Steps

Evaluate
3(6x−5)−210x
Expand the expression
More Steps

Calculate
3(6x−5)
Apply the distributive property
3×6x−3×5
Multiply the numbers
18x−3×5
Multiply the numbers
18x−15
18x−15−210x
Subtract the terms
More Steps

Evaluate
18x−210x
Collect like terms by calculating the sum or difference of their coefficients
(18−210)x
Subtract the numbers
−192x
−192x−15
−192x−15=0
Move the constant to the right-hand side and change its sign
−192x=0+15
Removing 0 doesn't change the value,so remove it from the expression
−192x=15
Change the signs on both sides of the equation
192x=−15
Divide both sides
192192x=192−15
Divide the numbers
x=192−15
Solution
More Steps

Evaluate
192−15
Cancel out the common factor 3
64−5
Use b−a=−ba=−ba to rewrite the fraction
−645
x=−645
Alternative Form
x=−0.078125
Show Solution

Rewrite the equation
64x=−5
Evaluate
3(6x−5)−7(3x×10)=0
Evaluate
More Steps

Evaluate
3(6x−5)−7(3x×10)
Remove the parentheses
3(6x−5)−7×3x×10
Multiply the terms
3(6x−5)−210x
Expand the expression
More Steps

Calculate
3(6x−5)
Apply the distributive property
3×6x−3×5
Multiply the numbers
18x−3×5
Multiply the numbers
18x−15
18x−15−210x
Subtract the terms
More Steps

Evaluate
18x−210x
Collect like terms by calculating the sum or difference of their coefficients
(18−210)x
Subtract the numbers
−192x
−192x−15
−192x−15=0
Move the constant to the right side
−192x=15
Multiply both sides
192x=−15
Solution
64x=−5
Show Solution
