# To find: The value of x for the provided equation displaystyle{0.7}{x}+{1.4}={3.92} and express the solution in decimal form. And also check the solution for the equation.

Question
Decimals
To find:
The value of x for the provided equation $$\displaystyle{0.7}{x}+{1.4}={3.92}$$ and express the solution in decimal form. And also check the solution for the equation.

2020-12-18
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.
$$\displaystyle{0.7}{x}+{1.4}={3.92}$$
$$\displaystyle{0.7}{\left({3.6}\right)}+{1.4}={3.92}$$
$$\displaystyle{2.52}+{1.4}={3.92}$$
$$\displaystyle{3.92}={3.92}$$
The solution set $$\displaystyle={3.6}$$

### Relevant Questions

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