Solve {l}{text{Solvethelinearequation.}}{qquad3x/2+1/2+3=8x/5-6/5}

$$\left. \begin{array} { l } { \text { Solve the linear equation. } } \\ { \qquad \frac { 3 x } { 2 } + \frac { 1 } { 2 } + 3 = \frac { 8 x } { 5 } - \frac { 6 } { 5 } } \end{array} \right.$$

Solve for x

$$x = \frac{67}{16} = 4\frac{3}{16} = 4.1875$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

$$20+5+30=2\times 8x-12$$

Add 20 and 5 to get 25.

$$25+30=2\times 8x-12$$

Add 25 and 30 to get 55.

$$55=2\times 8x-12$$

Multiply 2 and 8 to get 16.

$$55=16x-12$$

Swap sides so that all variable terms are on the left hand side.

$$16x-12=55$$

Add 12 to both sides.

$$16x=55+12$$

Add 55 and 12 to get 67.

$$16x=67$$

Divide both sides by 16.

$$x=\frac{67}{16}$$