Solve a=3/2(x+a)

$$a = \frac { 3 } { 2 } ( x + a )$$

Solve for a

$$a=-3x$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{2} by x+a.

$$a=\frac{3}{2}x+\frac{3}{2}a$$

Subtract \frac{3}{2}a from both sides.

$$a-\frac{3}{2}a=\frac{3}{2}x$$

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

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

The equation is in standard form.

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

Multiply both sides by -2.

$$\frac{-\frac{1}{2}a}{-\frac{1}{2}}=\frac{3x}{-\frac{1}{2}\times 2}$$

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

$$a=\frac{3x}{-\frac{1}{2}\times 2}$$

Divide \frac{3x}{2} by -\frac{1}{2} by multiplying \frac{3x}{2} by the reciprocal of -\frac{1}{2}.

$$a=-3x$$

Solve for x

$$x=-\frac{a}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{2} by x+a.

$$a=\frac{3}{2}x+\frac{3}{2}a$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{3}{2}x+\frac{3}{2}a=a$$

Subtract \frac{3}{2}a from both sides.

$$\frac{3}{2}x=a-\frac{3}{2}a$$

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

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

The equation is in standard form.

$$\frac{3}{2}x=-\frac{a}{2}$$

Divide both sides of the equation by \frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{2}x}{\frac{3}{2}}=-\frac{\frac{a}{2}}{\frac{3}{2}}$$

Dividing by \frac{3}{2} undoes the multiplication by \frac{3}{2}.

$$x=-\frac{\frac{a}{2}}{\frac{3}{2}}$$

Divide -\frac{a}{2} by \frac{3}{2} by multiplying -\frac{a}{2} by the reciprocal of \frac{3}{2}.

$$x=-\frac{a}{3}$$