Solve 3(x-5)/6+2x/4=7

$$\frac { 3 ( x - 5 ) } { 6 } + \frac { 2 x } { 4 } = 7$$

Solve for x

$$x = \frac{19}{2} = 9\frac{1}{2} = 9.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,4.

$$2\times 3\left(x-5\right)+3\times 2x=84$$

Multiply 2 and 3 to get 6.

$$6\left(x-5\right)+3\times 2x=84$$

Use the distributive property to multiply 6 by x-5.

$$6x-30+3\times 2x=84$$

Multiply 3 and 2 to get 6.

$$6x-30+6x=84$$

Combine 6x and 6x to get 12x.

$$12x-30=84$$

Add 30 to both sides.

$$12x=84+30$$

Add 84 and 30 to get 114.

$$12x=114$$

Divide both sides by 12.

$$x=\frac{114}{12}$$

Reduce the fraction \frac{114}{12} to lowest terms by extracting and canceling out 6.

$$x=\frac{19}{2}$$