$6(8 x+25)-70=5(8 x+25)$
Equation Solution
The problem requires finding the value of $x$ from the given equation:
$6(8 x+25)-70=5(8 x+25)$
Simplifying the Equation
To make the equation easier to solve, let $y = 8x + 25$. Substituting $y$ into the equation gives:
$6y - 70 = 5y$
Solving for y
Rearrange the equation to solve for $y$:
- Subtract $5y$ from both sides: $6y - 5y - 70 = 0$
- Add $70$ to both sides: $y = 70$
Solving for x
Now substitute $8x + 25$ back in for $y$:
$8x + 25 = 70$
Isolate the term with $x$:
- Subtract $25$ from both sides: $8x = 70 - 25$
- Calculate the difference: $8x = 45$
Finally, solve for $x$:
- Divide both sides by $8$: $x = \frac{45}{8}$
Converting to Mixed Number
Convert the improper fraction $\frac{45}{8}$ to a mixed number:
Divide $45$ by $8$. The quotient is $5$ and the remainder is $5$.
Therefore, $x = 5 \frac{5}{8}$.
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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?
