Solve -10left(0.5x+35-20-xright)left(0.5*35-50right)=1960

$$-10 \left( 0.5x+35-20-x \right) \left( 0.5 \cdot 35-50 \right) =1960$$

Solve for x

$$x = \frac{1166}{65} = 17\frac{61}{65} \approx 17.938461538$$

Steps for Solving Linear Equation

Subtract 20 from 35 to get 15.

$$-10\left(0.5x+15-x\right)\left(0.5\times 35-50\right)=1960$$

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

$$-10\left(-0.5x+15\right)\left(0.5\times 35-50\right)=1960$$

Multiply 0.5 and 35 to get 17.5.

$$-10\left(-0.5x+15\right)\left(17.5-50\right)=1960$$

Subtract 50 from 17.5 to get -32.5.

$$-10\left(-0.5x+15\right)\left(-32.5\right)=1960$$

Multiply -10 and -32.5 to get 325.

$$325\left(-0.5x+15\right)=1960$$

Use the distributive property to multiply 325 by -0.5x+15.

$$-162.5x+4875=1960$$

Subtract 4875 from both sides.

$$-162.5x=1960-4875$$

Subtract 4875 from 1960 to get -2915.

$$-162.5x=-2915$$

Divide both sides by -162.5.

$$x=\frac{-2915}{-162.5}$$

Expand \frac{-2915}{-162.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-29150}{-1625}$$

Reduce the fraction \frac{-29150}{-1625} to lowest terms by extracting and canceling out -25.

$$x=\frac{1166}{65}$$