Solve 0.205*0.00088*(x-15)=0.85*4200*(15-x)

$$0.205 \times 0.00088 \times (x-15)=0.85 \times 4200 \times (15-x)$$

Solve for x

$$x=15$$

Steps for Solving Linear Equation

Multiply 0.205 and 0.00088 to get 0.0001804.

$$0.0001804\left(x-15\right)=0.85\times 4200\left(15-x\right)$$

Use the distributive property to multiply 0.0001804 by x-15.

$$0.0001804x-0.002706=0.85\times 4200\left(15-x\right)$$

Multiply 0.85 and 4200 to get 3570.

$$0.0001804x-0.002706=3570\left(15-x\right)$$

Use the distributive property to multiply 3570 by 15-x.

$$0.0001804x-0.002706=53550-3570x$$

Add 3570x to both sides.

$$0.0001804x-0.002706+3570x=53550$$

Combine 0.0001804x and 3570x to get 3570.0001804x.

$$3570.0001804x-0.002706=53550$$

Add 0.002706 to both sides.

$$3570.0001804x=53550+0.002706$$

Add 53550 and 0.002706 to get 53550.002706.

$$3570.0001804x=53550.002706$$

Divide both sides by 3570.0001804.

$$x=\frac{53550.002706}{3570.0001804}$$

Expand \frac{53550.002706}{3570.0001804} by multiplying both numerator and the denominator by 10000000.

$$x=\frac{535500027060}{35700001804}$$

Divide 535500027060 by 35700001804 to get 15.

$$x=15$$