Solve 3left(m-1/2xright)+x=5m

$$3 \left( m- \frac{ 1 }{ 2 } x \right) +x = 5m$$

Solve for m

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

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by m-\frac{1}{2}x.

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

Combine -\frac{3}{2}x and x to get -\frac{1}{2}x.

$$3m-\frac{1}{2}x=5m$$

Subtract 5m from both sides.

$$3m-\frac{1}{2}x-5m=0$$

Combine 3m and -5m to get -2m.

$$-2m-\frac{1}{2}x=0$$

Add \frac{1}{2}x to both sides. Anything plus zero gives itself.

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

The equation is in standard form.

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

Divide both sides by -2.

$$\frac{-2m}{-2}=\frac{x}{-2\times 2}$$

Dividing by -2 undoes the multiplication by -2.

$$m=\frac{x}{-2\times 2}$$

Divide \frac{x}{2} by -2.

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

Solve for x

$$x=-4m$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by m-\frac{1}{2}x.

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

Combine -\frac{3}{2}x and x to get -\frac{1}{2}x.

$$3m-\frac{1}{2}x=5m$$

Subtract 3m from both sides.

$$-\frac{1}{2}x=5m-3m$$

Combine 5m and -3m to get 2m.

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

Multiply both sides by -2.

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

Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.

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

Divide 2m by -\frac{1}{2} by multiplying 2m by the reciprocal of -\frac{1}{2}.

$$x=-4m$$