# Solve for r (4r-2)/5=1-2r 4r-25=1-2r
Multiply both sides of the equation by 5.
4r-2=1⋅(5)-2r⋅5
Remove parentheses.
4r-2=1⋅(5)-2r⋅5
Simplify each term.
Multiply 5 by 1.
4r-2=5-2r⋅5
Multiply 5 by -2.
4r-2=5-10r
4r-2=5-10r
Move all terms containing r to the left side of the equation.
Add -10r to both sides of the equation.
4r-2+10r=5
Add 4r and 10r.
14r-2=5
14r-2=5
Move all terms not containing r to the right side of the equation.
Add 2 to both sides of the equation.
14r=5+2
Add 5 and 2.
14r=7
14r=7
Divide each term by 14 and simplify.
Divide each term in 14r=7 by 14.
14r14=714
Cancel the common factor of 14.
Cancel the common factor.
14r14=714
Divide r by 1.
r=714
r=714
Cancel the common factor of 7 and 14.
Factor 7 out of 7.
r=7(1)14
Cancel the common factors.
Factor 7 out of 14.
r=7⋅17⋅2
Cancel the common factor.
r=7⋅17⋅2
Rewrite the expression.
r=12
r=12
r=12
r=12
The result can be shown in multiple forms.
Exact Form:
r=12
Decimal Form:
r=0.5
Solve for r (4r-2)/5=1-2r

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