Solve 4200*2(100-x)=4200*1(x-20)

$$4200 \times 2(100-x)=4200 \times 1(x-20)$$

Solve for x

$$x = \frac{220}{3} = 73\frac{1}{3} \approx 73.333333333$$

Steps for Solving Linear Equation

Cancel out 4200 on both sides.

$$2\left(100-x\right)=1\left(x-20\right)$$

Use the distributive property to multiply 2 by 100-x.

$$200-2x=1\left(x-20\right)$$

Use the distributive property to multiply 1 by x-20.

$$200-2x=x-20$$

Subtract x from both sides.

$$200-2x-x=-20$$

Combine -2x and -x to get -3x.

$$200-3x=-20$$

Subtract 200 from both sides.

$$-3x=-20-200$$

Subtract 200 from -20 to get -220.

$$-3x=-220$$

Divide both sides by -3.

$$x=\frac{-220}{-3}$$

Fraction \frac{-220}{-3} can be simplified to \frac{220}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{220}{3}$$