Solve 2m+5x=m+1/2+2x

$$2 m + 5 x = \frac { m + 1 } { 2 } + 2 x$$

Solve for m

$$m=\frac{1}{3}-2x$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$4m+10x=m+1+4x$$

Subtract m from both sides.

$$4m+10x-m=1+4x$$

Combine 4m and -m to get 3m.

$$3m+10x=1+4x$$

Subtract 10x from both sides.

$$3m=1+4x-10x$$

Combine 4x and -10x to get -6x.

$$3m=1-6x$$

Divide both sides by 3.

$$\frac{3m}{3}=\frac{1-6x}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$m=\frac{1-6x}{3}$$

Divide 1-6x by 3.

$$m=\frac{1}{3}-2x$$

Solve for x

$$x=-\frac{m}{2}+\frac{1}{6}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$4m+10x=m+1+4x$$

Subtract 4x from both sides.

$$4m+10x-4x=m+1$$

Combine 10x and -4x to get 6x.

$$4m+6x=m+1$$

Subtract 4m from both sides.

$$6x=m+1-4m$$

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

$$6x=-3m+1$$

The equation is in standard form.

$$6x=1-3m$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{1-3m}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{1-3m}{6}$$

Divide -3m+1 by 6.

$$x=-\frac{m}{2}+\frac{1}{6}$$