Solve m-10/3-6m-19/7=2

$$\frac { m - 10 } { 3 } - \frac { 6 m - 19 } { 7 } = 2$$

Solve for m

$$m=-5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 3,7.

$$7\left(m-10\right)-3\left(6m-19\right)=42$$

Use the distributive property to multiply 7 by m-10.

$$7m-70-3\left(6m-19\right)=42$$

Use the distributive property to multiply -3 by 6m-19.

$$7m-70-18m+57=42$$

Combine 7m and -18m to get -11m.

$$-11m-70+57=42$$

Add -70 and 57 to get -13.

$$-11m-13=42$$

Add 13 to both sides.

$$-11m=42+13$$

Add 42 and 13 to get 55.

$$-11m=55$$

Divide both sides by -11.

$$m=\frac{55}{-11}$$

Divide 55 by -11 to get -5.

$$m=-5$$