Solve 400+225-400/3x=400x

$$400 + 225 - \frac { 400 } { 3 } x = 400 x$$

Solve for x

$$x = \frac{75}{64} = 1\frac{11}{64} = 1.171875$$

Steps for Solving Linear Equation

Add 400 and 225 to get 625.

$$625-\frac{400}{3}x=400x$$

Subtract 400x from both sides.

$$625-\frac{400}{3}x-400x=0$$

Combine -\frac{400}{3}x and -400x to get -\frac{1600}{3}x.

$$625-\frac{1600}{3}x=0$$

Subtract 625 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1600}{3}x=-625$$

Multiply both sides by -\frac{3}{1600}, the reciprocal of -\frac{1600}{3}.

$$x=-625\left(-\frac{3}{1600}\right)$$

Express -625\left(-\frac{3}{1600}\right) as a single fraction.

$$x=\frac{-625\left(-3\right)}{1600}$$

Multiply -625 and -3 to get 1875.

$$x=\frac{1875}{1600}$$

Reduce the fraction \frac{1875}{1600} to lowest terms by extracting and canceling out 25.

$$x=\frac{75}{64}$$