# Solve for x m(5-x)=7-y m(5-x)=7-y
Divide each term by m and simplify.
Divide each term in m(5-x)=7-y by m.
m(5-x)m=7m+-ym
Cancel the common factor of m.
Cancel the common factor.
m(5-x)m=7m+-ym
Divide 5-x by 1.
5-x=7m+-ym
5-x=7m+-ym
Move the negative in front of the fraction.
5-x=7m-ym
5-x=7m-ym
Subtract 5 from both sides of the equation.
-x=7m-ym-5
Multiply each term in -x=7m-ym-5 by -1
Multiply each term in -x=7m-ym-5 by -1.
(-x)⋅-1=7m⋅-1-ym⋅-1+(-5)⋅-1
Multiply (-x)⋅-1.
Multiply -1 by -1.
1x=7m⋅-1-ym⋅-1+(-5)⋅-1
Multiply x by 1.
x=7m⋅-1-ym⋅-1+(-5)⋅-1
x=7m⋅-1-ym⋅-1+(-5)⋅-1
Simplify each term.
Multiply 7m⋅-1.
Combine 7m and -1.
x=7⋅-1m-ym⋅-1+(-5)⋅-1
Multiply 7 by -1.
x=-7m-ym⋅-1+(-5)⋅-1
x=-7m-ym⋅-1+(-5)⋅-1
Move the negative in front of the fraction.
x=-7m-ym⋅-1+(-5)⋅-1
Multiply -ym⋅-1.
Multiply -1 by -1.
x=-7m+1ym+(-5)⋅-1
Multiply ym by 1.
x=-7m+ym+(-5)⋅-1
x=-7m+ym+(-5)⋅-1
Multiply -5 by -1.
x=-7m+ym+5
x=-7m+ym+5
x=-7m+ym+5
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