Solve 0.85*4200left(x-15right)=0.205*088left(15-xright)

$$0.85 \cdot 4200 \left( x-15 \right) = 0.205 \cdot 088 \left( 15-x \right)$$

Solve for x

$$x=15$$

Steps for Solving Linear Equation

Multiply 0.85 and 4200 to get 3570.

$$3570\left(x-15\right)=0.205\times 0\times 88\left(15-x\right)$$

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

$$3570x-53550=0.205\times 0\times 88\left(15-x\right)$$

Multiply 0.205 and 0 to get 0.

$$3570x-53550=0\times 88\left(15-x\right)$$

Multiply 0 and 88 to get 0.

$$3570x-53550=0\left(15-x\right)$$

Anything times zero gives zero.

$$3570x-53550=0$$

Add 53550 to both sides. Anything plus zero gives itself.

$$3570x=53550$$

Divide both sides by 3570.

$$x=\frac{53550}{3570}$$

Divide 53550 by 3570 to get 15.

$$x=15$$