Solve 34.5999=0.79*24+x*64+(1-x-0.79)*32

$$34.5999=0.79 \times 24+x \times 64+(1-x-0.79) \times 32$$

Solve for x

$$x=0.278746875$$

Steps for Solving Linear Equation

Multiply 0.79 and 24 to get 18.96.

$$34.5999=18.96+x\times 64+\left(1-x-0.79\right)\times 32$$

Subtract 0.79 from 1 to get 0.21.

$$34.5999=18.96+x\times 64+\left(0.21-x\right)\times 32$$

Use the distributive property to multiply 0.21-x by 32.

$$34.5999=18.96+x\times 64+6.72-32x$$

Add 18.96 and 6.72 to get 25.68.

$$34.5999=25.68+x\times 64-32x$$

Combine x\times 64 and -32x to get 32x.

$$34.5999=25.68+32x$$

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

$$25.68+32x=34.5999$$

Subtract 25.68 from both sides.

$$32x=34.5999-25.68$$

Subtract 25.68 from 34.5999 to get 8.9199.

$$32x=8.9199$$

Divide both sides by 32.

$$x=\frac{8.9199}{32}$$

Expand \frac{8.9199}{32} by multiplying both numerator and the denominator by 10000.

$$x=\frac{89199}{320000}$$