Solve 34.5999=0.79*28+x*64+left(1-x-0.79right)32

$$34.5999 = 0.79 \cdot 28+x \times 64+ \left( 1-x-0.79 \right) 32$$

Solve for x

$$x=0.179996875$$

Steps for Solving Linear Equation

Multiply 0.79 and 28 to get 22.12.

$$34.5999=22.12+x\times 64+\left(1-x-0.79\right)\times 32$$

Subtract 0.79 from 1 to get 0.21.

$$34.5999=22.12+x\times 64+\left(0.21-x\right)\times 32$$

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

$$34.5999=22.12+x\times 64+6.72-32x$$

Add 22.12 and 6.72 to get 28.84.

$$34.5999=28.84+x\times 64-32x$$

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

$$34.5999=28.84+32x$$

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

$$28.84+32x=34.5999$$

Subtract 28.84 from both sides.

$$32x=34.5999-28.84$$

Subtract 28.84 from 34.5999 to get 5.7599.

$$32x=5.7599$$

Divide both sides by 32.

$$x=\frac{5.7599}{32}$$

Expand \frac{5.7599}{32} by multiplying both numerator and the denominator by 10000.

$$x=\frac{57599}{320000}$$