Solve (1/2x+5/12)-15/5=2/3

$$( \frac { 1 } { 2 } x + \frac { 5 } { 12 } ) - 1 \frac { 5 } { 5 } = \frac { 2 } { 3 }$$

Solve for x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 2,12,5,3.

$$30x+25-12\left(5+5\right)=40$$

Add 5 and 5 to get 10.

$$30x+25-12\times 10=40$$

Multiply -12 and 10 to get -120.

$$30x+25-120=40$$

Subtract 120 from 25 to get -95.

$$30x-95=40$$

Add 95 to both sides.

$$30x=40+95$$

Add 40 and 95 to get 135.

$$30x=135$$

Divide both sides by 30.

$$x=\frac{135}{30}$$

Reduce the fraction \frac{135}{30} to lowest terms by extracting and canceling out 15.

$$x=\frac{9}{2}$$