Approach:

To solve the equation that involve decimals, there are two commonly used procedures. One of the procedures is to keep the numbers in decimal form, then solve the equation by applying the properties. Second procedure is to multiply both sides of the equation by an appropriate power of 10 clear the equation of all decimals.

Calculation:

Since, keep this equation in decimal form.

Consider, \(\displaystyle{0.7}{x}+{1.4}={3.92}\), substract like terms.

\(\displaystyle{0.7}{x}={3.92}-{1.4}\)

\(\displaystyle{0.7}{x}={2.52}\)

\(\displaystyle{x}=\frac{2.52}{{0.7}}\)

\(\displaystyle={3.6}\)

Now, check the solution by putting the value of x in the provided equation.

\(\displaystyle{0.7}{x}+{1.4}={3.92}\)

\(\displaystyle{0.7}{\left({3.6}\right)}+{1.4}={3.92}\)

\(\displaystyle{2.52}+{1.4}={3.92}\)

\(\displaystyle{3.92}={3.92}\)

Answer:

The solution set \(\displaystyle={3.6}\)

To solve the equation that involve decimals, there are two commonly used procedures. One of the procedures is to keep the numbers in decimal form, then solve the equation by applying the properties. Second procedure is to multiply both sides of the equation by an appropriate power of 10 clear the equation of all decimals.

Calculation:

Since, keep this equation in decimal form.

Consider, \(\displaystyle{0.7}{x}+{1.4}={3.92}\), substract like terms.

\(\displaystyle{0.7}{x}={3.92}-{1.4}\)

\(\displaystyle{0.7}{x}={2.52}\)

\(\displaystyle{x}=\frac{2.52}{{0.7}}\)

\(\displaystyle={3.6}\)

Now, check the solution by putting the value of x in the provided equation.

\(\displaystyle{0.7}{x}+{1.4}={3.92}\)

\(\displaystyle{0.7}{\left({3.6}\right)}+{1.4}={3.92}\)

\(\displaystyle{2.52}+{1.4}={3.92}\)

\(\displaystyle{3.92}={3.92}\)

Answer:

The solution set \(\displaystyle={3.6}\)