Solve 0.85*4200000000left(15-xright)=0.205*0.88left(x-15right)

$$0.85 \cdot 4200000000 \left( 15-x \right) = 0.205 \cdot 0.88 \left( x-15 \right)$$

Solve for x

$$x=15$$

Steps for Solving Linear Equation

Multiply 0.85 and 4200000000 to get 3570000000.

$$3570000000\left(15-x\right)=0.205\times 0.88\left(x-15\right)$$

Use the distributive property to multiply 3570000000 by 15-x.

$$53550000000-3570000000x=0.205\times 0.88\left(x-15\right)$$

Multiply 0.205 and 0.88 to get 0.1804.

$$53550000000-3570000000x=0.1804\left(x-15\right)$$

Use the distributive property to multiply 0.1804 by x-15.

$$53550000000-3570000000x=0.1804x-2.706$$

Subtract 0.1804x from both sides.

$$53550000000-3570000000x-0.1804x=-2.706$$

Combine -3570000000x and -0.1804x to get -3570000000.1804x.

$$53550000000-3570000000.1804x=-2.706$$

Subtract 53550000000 from both sides.

$$-3570000000.1804x=-2.706-53550000000$$

Subtract 53550000000 from -2.706 to get -53550000002.706.

$$-3570000000.1804x=-53550000002.706$$

Divide both sides by -3570000000.1804.

$$x=\frac{-53550000002.706}{-3570000000.1804}$$

Expand \frac{-53550000002.706}{-3570000000.1804} by multiplying both numerator and the denominator by 10000.

$$x=\frac{-535500000027060}{-35700000001804}$$

Divide -535500000027060 by -35700000001804 to get 15.

$$x=15$$