# Solve for x -4/5x=8/35

-45x=835
Multiply both sides of the equation by -54.
-54⋅(-45)⋅x=-54⋅835
Simplify both sides of the equation.
Simplify -54⋅(-45)⋅x.
Cancel the common factor of 5.
Move the leading negative in -54 into the numerator.
-54⋅(-45)⋅x=-54⋅835
Move the leading negative in -45 into the numerator.
-54⋅-45⋅x=-54⋅835
Factor 5 out of -5.
5(-1)4⋅-45⋅x=-54⋅835
Cancel the common factor.
5⋅-14⋅-45⋅x=-54⋅835
Rewrite the expression.
-14⋅-4⋅x=-54⋅835
-14⋅-4⋅x=-54⋅835
Cancel the common factor of 4.
Factor 4 out of -4.
-14⋅(4(-1))⋅x=-54⋅835
Cancel the common factor.
-14⋅(4⋅-1)⋅x=-54⋅835
Rewrite the expression.
-1⋅-1⋅x=-54⋅835
-1⋅-1⋅x=-54⋅835
Multiply.
Multiply -1 by -1.
1⋅x=-54⋅835
Multiply x by 1.
x=-54⋅835
x=-54⋅835
x=-54⋅835
Simplify -54⋅835.
Cancel the common factor of 5.
Move the leading negative in -54 into the numerator.
x=-54⋅835
Factor 5 out of -5.
x=5(-1)4⋅835
Factor 5 out of 35.
x=5⋅-14⋅85⋅7
Cancel the common factor.
x=5⋅-14⋅85⋅7
Rewrite the expression.
x=-14⋅87
x=-14⋅87
Cancel the common factor of 4.
Factor 4 out of 8.
x=-14⋅4(2)7
Cancel the common factor.
x=-14⋅4⋅27
Rewrite the expression.
x=-1⋅27
x=-1⋅27
Rewrite -1(27) as -(27).
x=-27
x=-27
x=-27
The result can be shown in multiple forms.
Exact Form:
x=-27
Decimal Form:
x=-0.285714‾
Solve for x -4/5x=8/35