Solve 0.50x+0.85(70-x)=0.75*70

$$0.50 x + 0.85 ( 70 - x ) = 0.75 \times 70$$

Solve for x

$$x=20$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.85 by 70-x.

$$0.5x+59.5-0.85x=0.75\times 70$$

Combine 0.5x and -0.85x to get -0.35x.

$$-0.35x+59.5=0.75\times 70$$

Multiply 0.75 and 70 to get 52.5.

$$-0.35x+59.5=52.5$$

Subtract 59.5 from both sides.

$$-0.35x=52.5-59.5$$

Subtract 59.5 from 52.5 to get -7.

$$-0.35x=-7$$

Divide both sides by -0.35.

$$x=\frac{-7}{-0.35}$$

Expand \frac{-7}{-0.35} by multiplying both numerator and the denominator by 100.

$$x=\frac{-700}{-35}$$

Divide -700 by -35 to get 20.

$$x=20$$