Solve x-3-1/2=25+2/3

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

Solve for x

$$x = \frac{17}{3} = 5\frac{2}{3} \approx 5.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$6x-3\left(3-1\right)=4\left(5+2\right)$$

Subtract 1 from 3 to get 2.

$$6x-3\times 2=4\left(5+2\right)$$

Multiply -3 and 2 to get -6.

$$6x-6=4\left(5+2\right)$$

Add 5 and 2 to get 7.

$$6x-6=4\times 7$$

Multiply 4 and 7 to get 28.

$$6x-6=28$$

Add 6 to both sides.

$$6x=28+6$$

Add 28 and 6 to get 34.

$$6x=34$$

Divide both sides by 6.

$$x=\frac{34}{6}$$

Reduce the fraction \frac{34}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{17}{3}$$