Solve ((400-x)/1=(350-x)/0.8

$$\frac { ( ( 400 - x ) } { 1 } = \frac { ( 350 - x ) } { 0.8 }$$

Solve for x

$$x=150$$

Steps for Solving Linear Equation

Anything divided by one gives itself.

$$400-x=\frac{350-x}{0.8}$$

Divide each term of 350-x by 0.8 to get \frac{350}{0.8}+\frac{-x}{0.8}.

$$400-x=\frac{350}{0.8}+\frac{-x}{0.8}$$

Expand \frac{350}{0.8} by multiplying both numerator and the denominator by 10.

$$400-x=\frac{3500}{8}+\frac{-x}{0.8}$$

Reduce the fraction \frac{3500}{8} to lowest terms by extracting and canceling out 4.

$$400-x=\frac{875}{2}+\frac{-x}{0.8}$$

Divide -x by 0.8 to get -1.25x.

$$400-x=\frac{875}{2}-1.25x$$

Add 1.25x to both sides.

$$400-x+1.25x=\frac{875}{2}$$

Combine -x and 1.25x to get 0.25x.

$$400+0.25x=\frac{875}{2}$$

Subtract 400 from both sides.

$$0.25x=\frac{875}{2}-400$$

Convert 400 to fraction \frac{800}{2}.

$$0.25x=\frac{875}{2}-\frac{800}{2}$$

Since \frac{875}{2} and \frac{800}{2} have the same denominator, subtract them by subtracting their numerators.

$$0.25x=\frac{875-800}{2}$$

Subtract 800 from 875 to get 75.

$$0.25x=\frac{75}{2}$$

Divide both sides by 0.25.

$$x=\frac{\frac{75}{2}}{0.25}$$

Express \frac{\frac{75}{2}}{0.25} as a single fraction.

$$x=\frac{75}{2\times 0.25}$$

Multiply 2 and 0.25 to get 0.5.

$$x=\frac{75}{0.5}$$

Expand \frac{75}{0.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{750}{5}$$

Divide 750 by 5 to get 150.

$$x=150$$