Solve 4(x+m)=2y+3x

$$4 ( x + m ) = 2 y + 3 x$$

Solve for m

$$m=\frac{y}{2}-\frac{x}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+m.

$$4x+4m=2y+3x$$

Subtract 4x from both sides.

$$4m=2y+3x-4x$$

Combine 3x and -4x to get -x.

$$4m=2y-x$$

Divide both sides by 4.

$$\frac{4m}{4}=\frac{2y-x}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$m=\frac{2y-x}{4}$$

Divide 2y-x by 4.

$$m=\frac{y}{2}-\frac{x}{4}$$

Solve for x

$$x=2\left(y-2m\right)$$

Solution Steps

Use the distributive property to multiply 4 by x+m.

$$4x+4m=2y+3x$$

Subtract 3x from both sides.

$$4x+4m-3x=2y$$

Combine 4x and -3x to get x.

$$x+4m=2y$$

Subtract 4m from both sides.

$$x=2y-4m$$