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2m\left(2x-3\right)+4x-1=10
Multiply both sides of the equation by 10, the least common multiple of 5,10.
4mx-6m+4x-1=10
Use the distributive property to multiply 2m by 2x-3.
4mx-6m-1=10-4x
Subtract 4x from both sides.
4mx-6m=10-4x+1
Add 1 to both sides.
4mx-6m=11-4x
Add 10 and 1 to get 11.
\left(4x-6\right)m=11-4x
Combine all terms containing m.
\frac{\left(4x-6\right)m}{4x-6}=\frac{11-4x}{4x-6}
Divide both sides by 4x-6.
m=\frac{11-4x}{4x-6}
Dividing by 4x-6 undoes the multiplication by 4x-6.
m=\frac{11-4x}{2\left(2x-3\right)}
Divide 11-4x by 4x-6.
2m\left(2x-3\right)+4x-1=10
Multiply both sides of the equation by 10, the least common multiple of 5,10.
4xm-6m+4x-1=10
Use the distributive property to multiply 2m by 2x-3.
4xm+4x-1=10+6m
Add 6m to both sides.
4xm+4x=10+6m+1
Add 1 to both sides.
4xm+4x=11+6m
Add 10 and 1 to get 11.
\left(4m+4\right)x=11+6m
Combine all terms containing x.
\left(4m+4\right)x=6m+11
The equation is in standard form.
\frac{\left(4m+4\right)x}{4m+4}=\frac{6m+11}{4m+4}
Divide both sides by 4m+4.
x=\frac{6m+11}{4m+4}
Dividing by 4m+4 undoes the multiplication by 4m+4.
x=\frac{6m+11}{4\left(m+1\right)}
Divide 11+6m by 4m+4.