Solve 9(m-2x)-4(3m-x)=6m

$$9 ( m - 2 x ) - 4 ( 3 m - x ) = 6 m$$

Solve for m

$$m=-\frac{14x}{9}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by m-2x.

$$9m-18x-4\left(3m-x\right)=6m$$

Use the distributive property to multiply -4 by 3m-x.

$$9m-18x-12m+4x=6m$$

Combine 9m and -12m to get -3m.

$$-3m-18x+4x=6m$$

Combine -18x and 4x to get -14x.

$$-3m-14x=6m$$

Subtract 6m from both sides.

$$-3m-14x-6m=0$$

Combine -3m and -6m to get -9m.

$$-9m-14x=0$$

Add 14x to both sides. Anything plus zero gives itself.

$$-9m=14x$$

Divide both sides by -9.

$$\frac{-9m}{-9}=\frac{14x}{-9}$$

Dividing by -9 undoes the multiplication by -9.

$$m=\frac{14x}{-9}$$

Divide 14x by -9.

$$m=-\frac{14x}{9}$$

Solve for x

$$x=-\frac{9m}{14}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by m-2x.

$$9m-18x-4\left(3m-x\right)=6m$$

Use the distributive property to multiply -4 by 3m-x.

$$9m-18x-12m+4x=6m$$

Combine 9m and -12m to get -3m.

$$-3m-18x+4x=6m$$

Combine -18x and 4x to get -14x.

$$-3m-14x=6m$$

Add 3m to both sides.

$$-14x=6m+3m$$

Combine 6m and 3m to get 9m.

$$-14x=9m$$

Divide both sides by -14.

$$\frac{-14x}{-14}=\frac{9m}{-14}$$

Dividing by -14 undoes the multiplication by -14.

$$x=\frac{9m}{-14}$$

Divide 9m by -14.

$$x=-\frac{9m}{14}$$