Solve 128.15=(3.20*22)+(1.50*(22-x))+(3.20*x)

$$128.15=(3.20 \times 22)+(1.50 \times (22-x))+(3.20 \times x)$$

Solve for x

$$x = \frac{495}{34} = 14\frac{19}{34} \approx 14.558823529$$

Steps for Solving Linear Equation

Multiply 3.2 and 22 to get 70.4.

$$128.15=70.4+1.5\left(22-x\right)+3.2x$$

Use the distributive property to multiply 1.5 by 22-x.

$$128.15=70.4+33-1.5x+3.2x$$

Add 70.4 and 33 to get 103.4.

$$128.15=103.4-1.5x+3.2x$$

Combine -1.5x and 3.2x to get 1.7x.

$$128.15=103.4+1.7x$$

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

$$103.4+1.7x=128.15$$

Subtract 103.4 from both sides.

$$1.7x=128.15-103.4$$

Subtract 103.4 from 128.15 to get 24.75.

$$1.7x=24.75$$

Divide both sides by 1.7.

$$x=\frac{24.75}{1.7}$$

Expand \frac{24.75}{1.7} by multiplying both numerator and the denominator by 100.

$$x=\frac{2475}{170}$$

Reduce the fraction \frac{2475}{170} to lowest terms by extracting and canceling out 5.

$$x=\frac{495}{34}$$