Solve 5/6(x-1)=4

$$\frac { 5 } { 6 } ( x - 1 ) = 4$$

Solve for x

$$x = \frac{29}{5} = 5\frac{4}{5} = 5.8$$

Steps for Solving Linear Equation

Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.

$$x-1=4\times \frac{6}{5}$$

Express 4\times \frac{6}{5} as a single fraction.

$$x-1=\frac{4\times 6}{5}$$

Multiply 4 and 6 to get 24.

$$x-1=\frac{24}{5}$$

Add 1 to both sides.

$$x=\frac{24}{5}+1$$

Convert 1 to fraction \frac{5}{5}.

$$x=\frac{24}{5}+\frac{5}{5}$$

Since \frac{24}{5} and \frac{5}{5} have the same denominator, add them by adding their numerators.

$$x=\frac{24+5}{5}$$

Add 24 and 5 to get 29.

$$x=\frac{29}{5}$$