Solve 4200*0.2*(x-20)=385*0.0372*(400-x)

$$4200 \times 0.2 \times (x-20)=385 \times 0.0372 \times (400-x)$$

Solve for x

$$x = \frac{536400}{20341} = 26\frac{7534}{20341} \approx 26.370384937$$

Steps for Solving Linear Equation

Multiply 4200 and 0.2 to get 840.

$$840\left(x-20\right)=385\times 0.0372\left(400-x\right)$$

Use the distributive property to multiply 840 by x-20.

$$840x-16800=385\times 0.0372\left(400-x\right)$$

Multiply 385 and 0.0372 to get 14.322.

$$840x-16800=14.322\left(400-x\right)$$

Use the distributive property to multiply 14.322 by 400-x.

$$840x-16800=5728.8-14.322x$$

Add 14.322x to both sides.

$$840x-16800+14.322x=5728.8$$

Combine 840x and 14.322x to get 854.322x.

$$854.322x-16800=5728.8$$

Add 16800 to both sides.

$$854.322x=5728.8+16800$$

Add 5728.8 and 16800 to get 22528.8.

$$854.322x=22528.8$$

Divide both sides by 854.322.

$$x=\frac{22528.8}{854.322}$$

Expand \frac{22528.8}{854.322} by multiplying both numerator and the denominator by 1000.

$$x=\frac{22528800}{854322}$$

Reduce the fraction \frac{22528800}{854322} to lowest terms by extracting and canceling out 42.

$$x=\frac{536400}{20341}$$