Solve 3/4a+2/3=5/6x

$$\frac { 3 } { 4 } a + \frac { 2 } { 3 } = \frac { 5 } { 6 } x$$

Solve for a

$$a=\frac{10x-8}{9}$$

Steps for Solving Linear Equation

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

$$\frac{3}{4}a=\frac{5}{6}x-\frac{2}{3}$$

The equation is in standard form.

$$\frac{3}{4}a=\frac{5x}{6}-\frac{2}{3}$$

Divide both sides of the equation by \frac{3}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{4}a}{\frac{3}{4}}=\frac{\frac{5x}{6}-\frac{2}{3}}{\frac{3}{4}}$$

Dividing by \frac{3}{4} undoes the multiplication by \frac{3}{4}.

$$a=\frac{\frac{5x}{6}-\frac{2}{3}}{\frac{3}{4}}$$

Divide \frac{5x}{6}-\frac{2}{3} by \frac{3}{4} by multiplying \frac{5x}{6}-\frac{2}{3} by the reciprocal of \frac{3}{4}.

$$a=\frac{10x-8}{9}$$

Solve for x

$$x=\frac{9a}{10}+\frac{4}{5}$$

Steps for Solving Linear Equation

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

$$\frac{5}{6}x=\frac{3}{4}a+\frac{2}{3}$$

The equation is in standard form.

$$\frac{5}{6}x=\frac{3a}{4}+\frac{2}{3}$$

Divide both sides of the equation by \frac{5}{6}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{6}x}{\frac{5}{6}}=\frac{\frac{3a}{4}+\frac{2}{3}}{\frac{5}{6}}$$

Dividing by \frac{5}{6} undoes the multiplication by \frac{5}{6}.

$$x=\frac{\frac{3a}{4}+\frac{2}{3}}{\frac{5}{6}}$$

Divide \frac{3a}{4}+\frac{2}{3} by \frac{5}{6} by multiplying \frac{3a}{4}+\frac{2}{3} by the reciprocal of \frac{5}{6}.

$$x=\frac{9a}{10}+\frac{4}{5}$$