Solve 2m+3/5=5m+2/3

$$\frac { 2 m + 3 } { 5 } = \frac { 5 m + 2 } { 3 }$$

Solve for m

$$m=-\frac{1}{19}\approx -0.052631579$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(2m+3\right)=5\left(5m+2\right)$$

Use the distributive property to multiply 3 by 2m+3.

$$6m+9=5\left(5m+2\right)$$

Use the distributive property to multiply 5 by 5m+2.

$$6m+9=25m+10$$

Subtract 25m from both sides.

$$6m+9-25m=10$$

Combine 6m and -25m to get -19m.

$$-19m+9=10$$

Subtract 9 from both sides.

$$-19m=10-9$$

Subtract 9 from 10 to get 1.

$$-19m=1$$

Divide both sides by -19.

$$m=\frac{1}{-19}$$

Fraction \frac{1}{-19} can be rewritten as -\frac{1}{19} by extracting the negative sign.

$$m=-\frac{1}{19}$$