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

Multiply 5 by 1.

4r-2=5-2r⋅5

Multiply 5 by -2.

4r-2=5-10r

4r-2=5-10r

Add -10r to both sides of the equation.

4r-2+10r=5

Add 4r and 10r.

14r-2=5

14r-2=5

Add 2 to both sides of the equation.

14r=5+2

Add 5 and 2.

14r=7

14r=7

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