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Question
-3.2x+1.5=-3.62
Solve the equation
x=\frac{8}{5}
Alternative Form
x=1.6
Evaluate
-3.2x+1.5=-3.62
Move the constant to the right-hand side and change its sign
-3.2x=-3.62-1.5
Subtract the numbers
-3.2x=-5.12
Change the signs on both sides of the equation
3.2x=5.12
Divide both sides
\frac{3.2x}{3.2}=\frac{5.12}{3.2}
Divide the numbers
x=\frac{5.12}{3.2}
Solution
More Steps
Evaluate
\frac{5.12}{3.2}
Convert the decimal into a fraction
More Steps
Evaluate
5.12
Convert the decimal into a fraction
\frac{512}{100}
Reduce the fraction
\frac{128}{25}
\frac{\frac{128}{25}}{3.2}
Convert the decimal into a fraction
More Steps
Evaluate
3.2
Convert the decimal into a fraction
\frac{32}{10}
Reduce the fraction
\frac{16}{5}
\frac{\frac{128}{25}}{\frac{16}{5}}
Multiply by the reciprocal
\frac{128}{25}\times \frac{5}{16}
Reduce the numbers
\frac{8}{25}\times 5
Reduce the numbers
\frac{8}{5}\times 1
Multiply the numbers
\frac{8}{5}
x=\frac{8}{5}
Alternative Form
x=1.6
Show Solutions
Rewrite the equation
5x=8
Evaluate
-3.2x+1.5=-3.62
Convert the decimal into a fraction
More Steps
Evaluate
-3.2x+1.5
Convert the expressions
More Steps
Evaluate
3.2
Convert the decimal into a fraction
\frac{32}{10}
Reduce the fraction
\frac{16}{5}
-\frac{16}{5}x+1.5
Convert the expressions
More Steps
Evaluate
1.5
Convert the decimal into a fraction
\frac{15}{10}
Reduce the fraction
\frac{3}{2}
-\frac{16}{5}x+\frac{3}{2}
-\frac{16}{5}x+\frac{3}{2}=-3.62
Convert the decimal into a fraction
More Steps
Evaluate
3.62
Convert the decimal into a fraction
\frac{362}{100}
Reduce the fraction
\frac{181}{50}
-\frac{16}{5}x+\frac{3}{2}=-\frac{181}{50}
Multiply both sides of the equation by LCD
-160x+75=-181
Move the constant to the right side
-160x=-256
Multiply both sides
160x=256
Solution
5x=8
Show Solutions
Graph
