Solve 3x+2x/3+2x+4x+5x/2+x+1=180^circ

$$3x+ \frac{ 2x }{ 3 } +2x+4x+ \frac{ 5x }{ 2 } +x+1 = 180 ^ { \circ }$$

Solve for x

$$x = \frac{1074}{79} = 13\frac{47}{79} \approx 13.594936709$$

Steps for Solving Linear Equation

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

$$18x+2\times 2x+12x+24x+3\times 5x+6x+6=1080$$

Multiply 2 and 2 to get 4.

$$18x+4x+12x+24x+3\times 5x+6x+6=1080$$

Combine 18x and 4x to get 22x.

$$22x+12x+24x+3\times 5x+6x+6=1080$$

Combine 22x and 12x to get 34x.

$$34x+24x+3\times 5x+6x+6=1080$$

Combine 34x and 24x to get 58x.

$$58x+3\times 5x+6x+6=1080$$

Multiply 3 and 5 to get 15.

$$58x+15x+6x+6=1080$$

Combine 58x and 15x to get 73x.

$$73x+6x+6=1080$$

Combine 73x and 6x to get 79x.

$$79x+6=1080$$

Subtract 6 from both sides.

$$79x=1080-6$$

Subtract 6 from 1080 to get 1074.

$$79x=1074$$

Divide both sides by 79.

$$x=\frac{1074}{79}$$