Solve 1/2*0.28*4=0.28*9.8*52+x

$$\frac { 1 } { 2 } \times 0.28 \times 4 = 0.28 \times 9.8 \times 52 + x$$

Solve for x

$$x=-142.128$$

Steps for Solving Linear Equation

Convert decimal number 0.28 to fraction \frac{28}{100}. Reduce the fraction \frac{28}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2}\times \frac{7}{25}\times 4=0.28\times 9.8\times 52+x$$

Multiply \frac{1}{2} times \frac{7}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 7}{2\times 25}\times 4=0.28\times 9.8\times 52+x$$

Do the multiplications in the fraction \frac{1\times 7}{2\times 25}.

$$\frac{7}{50}\times 4=0.28\times 9.8\times 52+x$$

Express \frac{7}{50}\times 4 as a single fraction.

$$\frac{7\times 4}{50}=0.28\times 9.8\times 52+x$$

Multiply 7 and 4 to get 28.

$$\frac{28}{50}=0.28\times 9.8\times 52+x$$

Reduce the fraction \frac{28}{50} to lowest terms by extracting and canceling out 2.

$$\frac{14}{25}=0.28\times 9.8\times 52+x$$

Multiply 0.28 and 9.8 to get 2.744.

$$\frac{14}{25}=2.744\times 52+x$$

Multiply 2.744 and 52 to get 142.688.

$$\frac{14}{25}=142.688+x$$

Swap sides so that all variable terms are on the left hand side.

$$142.688+x=\frac{14}{25}$$

Subtract 142.688 from both sides.

$$x=\frac{14}{25}-142.688$$

Convert decimal number 142.688 to fraction \frac{142688}{1000}. Reduce the fraction \frac{142688}{1000} to lowest terms by extracting and canceling out 8.

$$x=\frac{14}{25}-\frac{17836}{125}$$

Least common multiple of 25 and 125 is 125. Convert \frac{14}{25} and \frac{17836}{125} to fractions with denominator 125.

$$x=\frac{70}{125}-\frac{17836}{125}$$

Since \frac{70}{125} and \frac{17836}{125} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{70-17836}{125}$$

Subtract 17836 from 70 to get -17766.

$$x=-\frac{17766}{125}$$