Solve 17*3+13*x+13*0.8+5*6+5*0.8=180

$$17 \times 3+13 \times x+13 \times 0.8+5 \times 6+5 \times 0.8=180$$

Solve for x

$$x = \frac{423}{65} = 6\frac{33}{65} \approx 6.507692308$$

Steps for Solving Linear Equation

Multiply 17 and 3 to get 51. Multiply 5 and 6 to get 30.

$$51+13x+13\times 0.8+30+5\times 0.8=180$$

Multiply 13 and 0.8 to get 10.4.

$$51+13x+10.4+30+5\times 0.8=180$$

Add 51 and 10.4 to get 61.4.

$$61.4+13x+30+5\times 0.8=180$$

Add 61.4 and 30 to get 91.4.

$$91.4+13x+5\times 0.8=180$$

Multiply 5 and 0.8 to get 4.

$$91.4+13x+4=180$$

Add 91.4 and 4 to get 95.4.

$$95.4+13x=180$$

Subtract 95.4 from both sides.

$$13x=180-95.4$$

Subtract 95.4 from 180 to get 84.6.

$$13x=84.6$$

Divide both sides by 13.

$$x=\frac{84.6}{13}$$

Expand \frac{84.6}{13} by multiplying both numerator and the denominator by 10.

$$x=\frac{846}{130}$$

Reduce the fraction \frac{846}{130} to lowest terms by extracting and canceling out 2.

$$x=\frac{423}{65}$$