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Question
-0.4x-3.1=5.9
Solve the equation
x=-\frac{45}{2}
Alternative Form
x=-22.5
Evaluate
-0.4x-3.1=5.9
Move the constant to the right-hand side and change its sign
-0.4x=5.9+3.1
Add the numbers
-0.4x=9
Change the signs on both sides of the equation
0.4x=-9
Divide both sides
\frac{0.4x}{0.4}=\frac{-9}{0.4}
Divide the numbers
x=\frac{-9}{0.4}
Solution
More Steps
Evaluate
\frac{-9}{0.4}
Convert the decimal into a fraction
More Steps
Evaluate
0.4
Convert the decimal into a fraction
\frac{4}{10}
Reduce the fraction
\frac{2}{5}
\frac{-9}{\frac{2}{5}}
Multiply by the reciprocal
-9\times \frac{5}{2}
Multiply the numbers
-\frac{9\times 5}{2}
Multiply the numbers
-\frac{45}{2}
x=-\frac{45}{2}
Alternative Form
x=-22.5
Show Solutions
Rewrite the equation
2x=-45
Evaluate
-0.4x-3.1=5.9
Convert the decimal into a fraction
More Steps
Evaluate
-0.4x-3.1
Convert the expressions
More Steps
Evaluate
0.4
Convert the decimal into a fraction
\frac{4}{10}
Reduce the fraction
\frac{2}{5}
-\frac{2}{5}x-3.1
Convert the expressions
-\frac{2}{5}x-\frac{31}{10}
-\frac{2}{5}x-\frac{31}{10}=5.9
Convert the decimal into a fraction
-\frac{2}{5}x-\frac{31}{10}=\frac{59}{10}
Multiply both sides of the equation by LCD
-4x-31=59
Move the constant to the right side
-4x=90
Multiply both sides
4x=-90
Solution
2x=-45
Show Solutions
Graph
