Solve 3-(x/19+5/19)=23/19

$$3 - ( \frac { x } { 19 } + \frac { 5 } { 19 } ) = \frac { 23 } { 19 }$$

Solve for x

$$x=29$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 19.

$$57-19\left(\frac{x}{19}+\frac{5}{19}\right)=23$$

Since \frac{x}{19} and \frac{5}{19} have the same denominator, add them by adding their numerators.

$$57-19\times \frac{x+5}{19}=23$$

Express 19\times \frac{x+5}{19} as a single fraction.

$$57-\frac{19\left(x+5\right)}{19}=23$$

Cancel out 19 and 19.

$$57-\left(x+5\right)=23$$

To find the opposite of x+5, find the opposite of each term.

$$57-x-5=23$$

Subtract 5 from 57 to get 52.

$$52-x=23$$

Subtract 52 from both sides.

$$-x=23-52$$

Subtract 52 from 23 to get -29.

$$-x=-29$$

Multiply both sides by -1.

$$x=29$$