Solve 0.5x+200*0.5+(500-x-200)*0.7=290

$$0.5 x + 200 \times 0.5 + ( 500 - x - 200 ) \times 0.7 = 290$$

Solve for x

$$x=100$$

Steps for Solving Linear Equation

Multiply 200 and 0.5 to get 100.

$$0.5x+100+\left(500-x-200\right)\times 0.7=290$$

Subtract 200 from 500 to get 300.

$$0.5x+100+\left(300-x\right)\times 0.7=290$$

Use the distributive property to multiply 300-x by 0.7.

$$0.5x+100+210-0.7x=290$$

Add 100 and 210 to get 310.

$$0.5x+310-0.7x=290$$

Combine 0.5x and -0.7x to get -0.2x.

$$-0.2x+310=290$$

Subtract 310 from both sides.

$$-0.2x=290-310$$

Subtract 310 from 290 to get -20.

$$-0.2x=-20$$

Divide both sides by -0.2.

$$x=\frac{-20}{-0.2}$$

Expand \frac{-20}{-0.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-200}{-2}$$

Divide -200 by -2 to get 100.

$$x=100$$