Solve 5/6x+2/3=4/5x+1

$$\frac{ 5 }{ 6 } x+ \frac{ 2 }{ 3 } = \frac{ 4 }{ 5 } x+1$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Subtract \frac{4}{5}x from both sides.

$$\frac{5}{6}x+\frac{2}{3}-\frac{4}{5}x=1$$

Combine \frac{5}{6}x and -\frac{4}{5}x to get \frac{1}{30}x.

$$\frac{1}{30}x+\frac{2}{3}=1$$

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

$$\frac{1}{30}x=1-\frac{2}{3}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{1}{30}x=\frac{3}{3}-\frac{2}{3}$$

Since \frac{3}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{30}x=\frac{3-2}{3}$$

Subtract 2 from 3 to get 1.

$$\frac{1}{30}x=\frac{1}{3}$$

Multiply both sides by 30, the reciprocal of \frac{1}{30}.

$$x=\frac{1}{3}\times 30$$

Multiply \frac{1}{3} and 30 to get \frac{30}{3}.

$$x=\frac{30}{3}$$

Divide 30 by 3 to get 10.

$$x=10$$