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

Use the distributive property to multiply 4200\times 2 by 100-x.

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

Use the distributive property to multiply 4200\times 1 by x-20.

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

Subtract 4200\times 1x from both sides.

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

Subtract 100\left(4200\times 2\right) from both sides.

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

Combine all terms containing x.

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

The equation is in standard form.

$$-12600x=-924000$$

Divide both sides by -12600.

$$\frac{-12600x}{-12600}=-\frac{924000}{-12600}$$

Dividing by -12600 undoes the multiplication by -12600.

$$x=-\frac{924000}{-12600}$$

Reduce the fraction \frac{-924000}{-12600} to lowest terms by extracting and canceling out 4200.

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