Solve 88*0.2+84*0.2+89*0.3+x*0.3=82

$$88 \times 0.2+84 \times 0.2+89 \times 0.3+x \times 0.3=82$$

Solve for x

$$x = \frac{209}{3} = 69\frac{2}{3} \approx 69.666666667$$

Steps for Solving Linear Equation

Multiply 88 and 0.2 to get 17.6.

$$17.6+84\times 0.2+89\times 0.3+x\times 0.3=82$$

Multiply 84 and 0.2 to get 16.8.

$$17.6+16.8+89\times 0.3+x\times 0.3=82$$

Add 17.6 and 16.8 to get 34.4.

$$34.4+89\times 0.3+x\times 0.3=82$$

Multiply 89 and 0.3 to get 26.7.

$$34.4+26.7+x\times 0.3=82$$

Add 34.4 and 26.7 to get 61.1.

$$61.1+x\times 0.3=82$$

Subtract 61.1 from both sides.

$$x\times 0.3=82-61.1$$

Subtract 61.1 from 82 to get 20.9.

$$x\times 0.3=20.9$$

Divide both sides by 0.3.

$$x=\frac{20.9}{0.3}$$

Expand \frac{20.9}{0.3} by multiplying both numerator and the denominator by 10.

$$x=\frac{209}{3}$$