Solve [8x+(50-x)*6]*0.8+102=400

$$[ 8 x + ( 50 - x ) \times 6 ] \times 0.8 + 102 = 400$$

Solve for x

$$x=36.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 50-x by 6.

$$\left(8x+300-6x\right)\times 0.8+102=400$$

Combine 8x and -6x to get 2x.

$$\left(2x+300\right)\times 0.8+102=400$$

Use the distributive property to multiply 2x+300 by 0.8.

$$1.6x+240+102=400$$

Add 240 and 102 to get 342.

$$1.6x+342=400$$

Subtract 342 from both sides.

$$1.6x=400-342$$

Subtract 342 from 400 to get 58.

$$1.6x=58$$

Divide both sides by 1.6.

$$x=\frac{58}{1.6}$$

Expand \frac{58}{1.6} by multiplying both numerator and the denominator by 10.

$$x=\frac{580}{16}$$

Reduce the fraction \frac{580}{16} to lowest terms by extracting and canceling out 4.

$$x=\frac{145}{4}$$