Solve 63(1-x)+65x=63.55

$$63 ( 1 - x ) + 65 x = 63.55$$

Solve for x

$$x=0.275$$

Steps for Solving Linear Equation

Use the distributive property to multiply 63 by 1-x.

$$63-63x+65x=63.55$$

Combine -63x and 65x to get 2x.

$$63+2x=63.55$$

Subtract 63 from both sides.

$$2x=63.55-63$$

Subtract 63 from 63.55 to get 0.55.

$$2x=0.55$$

Divide both sides by 2.

$$x=\frac{0.55}{2}$$

Expand \frac{0.55}{2} by multiplying both numerator and the denominator by 100.

$$x=\frac{55}{200}$$

Reduce the fraction \frac{55}{200} to lowest terms by extracting and canceling out 5.

$$x=\frac{11}{40}$$