Solve (x-(x*4.4/100))4.38-0.60=29.4-4.38

$$( x - ( x \cdot \frac { 4.4 } { 100 } ) ) 4.38 - 0.60 = 29.4 - 4.38$$

Solve for x

$$x = \frac{106750}{17447} = 6\frac{2068}{17447} \approx 6.118530406$$

Steps for Solving Linear Equation

Expand \frac{4.4}{100} by multiplying both numerator and the denominator by 10.

$$\left(x-x\times \frac{44}{1000}\right)\times 4.38-0.6=29.4-4.38$$

Reduce the fraction \frac{44}{1000} to lowest terms by extracting and canceling out 4.

$$\left(x-x\times \frac{11}{250}\right)\times 4.38-0.6=29.4-4.38$$

Combine x and -x\times \frac{11}{250} to get \frac{239}{250}x.

$$\frac{239}{250}x\times 4.38-0.6=29.4-4.38$$

Convert decimal number 4.38 to fraction \frac{438}{100}. Reduce the fraction \frac{438}{100} to lowest terms by extracting and canceling out 2.

$$\frac{239}{250}x\times \frac{219}{50}-0.6=29.4-4.38$$

Multiply \frac{239}{250} times \frac{219}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{239\times 219}{250\times 50}x-0.6=29.4-4.38$$

Do the multiplications in the fraction \frac{239\times 219}{250\times 50}.

$$\frac{52341}{12500}x-0.6=29.4-4.38$$

Subtract 4.38 from 29.4 to get 25.02.

$$\frac{52341}{12500}x-0.6=25.02$$

Add 0.6 to both sides.

$$\frac{52341}{12500}x=25.02+0.6$$

Add 25.02 and 0.6 to get 25.62.

$$\frac{52341}{12500}x=25.62$$

Multiply both sides by \frac{12500}{52341}, the reciprocal of \frac{52341}{12500}.

$$x=25.62\times \frac{12500}{52341}$$

Convert decimal number 25.62 to fraction \frac{2562}{100}. Reduce the fraction \frac{2562}{100} to lowest terms by extracting and canceling out 2.

$$x=\frac{1281}{50}\times \frac{12500}{52341}$$

Multiply \frac{1281}{50} times \frac{12500}{52341} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1281\times 12500}{50\times 52341}$$

Do the multiplications in the fraction \frac{1281\times 12500}{50\times 52341}.

$$x=\frac{16012500}{2617050}$$

Reduce the fraction \frac{16012500}{2617050} to lowest terms by extracting and canceling out 150.

$$x=\frac{106750}{17447}$$