Solving for x in the Given Equation
The problem requires finding the value of variable $x$ based on the provided algebraic equation involving decimal numbers.
Simplify Equation Parts
First, simplify the terms within the parentheses:
- First term: $ (1 + 2 + \text{x}) = 3 + \text{x} $
- Second term: $ (0.12 - 0.42 + 0.94) $
- Calculate $0.12 - 0.42 = -0.30$
- Then, $-0.30 + 0.94 = 0.64$
Substitute and Calculate x
Now, substitute the simplified terms back into the original equation:
The equation becomes: $ (3 + \text{x}) - 0.64 = 4 $
Combine the constant terms:
$ 3 + \text{x} - 0.64 = 4 $
$ \text{x} + (3 - 0.64) = 4 $
$ \text{x} + 2.36 = 4 $
To find $x$, subtract 2.36 from both sides:
$ \text{x} = 4 - 2.36 $
$ \text{x} = 1.64 $
Final Answer
The value of x is $1.64$. This corresponds to Option A.
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$6(8x + 25) - 70 = 5(8x + 25)$ - If $11 = \frac{11x}{1 - x}$, then the value of $(2x)^2$ is:
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Important Questions from Linear Equation in 1 Variable
The sum of three fractions A, B, and C, A > B > C, is \(\frac{121}{60}\) . When C is divided by B, the resulting fraction is \(\frac{9}{10}\) , which exceeds A by \(\frac{3}{20}\) . What is the difference between B and C?
7 is added to a certain number and the sum is multiplied by 5. The product is then divided by 3 and 4 is subtracted from the quotient. If the result comes to 16, then what is the original number?
If the measure of one angle of a right triangle is 30° more than the measure of the smallest angle, then the measure of the smallest angle is:
A man has equal number of five, ten and twenty rupee notes amounting to Rs. 385. Find the total number of notes?
The sum of three consecutive number is 126. Find the highest number?
