Solve 3x-229/13=29

$$3 x - \frac { 229 } { 13 } = 29$$

Solve for x

$$x = \frac{202}{13} = 15\frac{7}{13} \approx 15.538461538$$

Steps for Solving Linear Equation

Add \frac{229}{13} to both sides.

$$3x=29+\frac{229}{13}$$

Convert 29 to fraction \frac{377}{13}.

$$3x=\frac{377}{13}+\frac{229}{13}$$

Since \frac{377}{13} and \frac{229}{13} have the same denominator, add them by adding their numerators.

$$3x=\frac{377+229}{13}$$

Add 377 and 229 to get 606.

$$3x=\frac{606}{13}$$

Divide both sides by 3.

$$x=\frac{\frac{606}{13}}{3}$$

Express \frac{\frac{606}{13}}{3} as a single fraction.

$$x=\frac{606}{13\times 3}$$

Multiply 13 and 3 to get 39.

$$x=\frac{606}{39}$$

Reduce the fraction \frac{606}{39} to lowest terms by extracting and canceling out 3.

$$x=\frac{202}{13}$$