 # Solve the equation and express the solution in decimal form: displaystyle{0.8}{left({2}{x}-{1.4}right)}={19.52} Tyra 2021-01-02 Answered
Solve the equation and express the solution in decimal form:
$0.8\left(2x-1.4\right)=19.52$
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Approach:
To solve the equation that involve decimals, there are two commonly used procedures. One procedure 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,
$0.8\left(2x-1.4\right)=19.52$
$1.6x-1.12=19.52,$ apply destributive property.
$1.6x=19.52+1.12$
$1.6x=20.64$
$x=\frac{20.64}{1.6}$, subtract like terms
$=12.9$
Now, check the solution by putting the value of x in the provided equation.
$0.8\left[2\left(12.9\right)-1.4\right]=19.52$
$0.8\left(24.4\right)=19.52$
$19.52=19.52$
Final statement:
Hence, the solution set is 12.9.