$6(8x + 25) - 70 = 5(8x + 25)$
Solve Linear Equation for x
We are asked to find the value of x in the given equation:
$6(8x + 25) - 70 = 5(8x + 25)$
Equation Simplification
Distribute the constants on both sides of the equation:
$6 \times 8x + 6 \times 25 - 70 = 5 \times 8x + 5 \times 25$
$48x + 150 - 70 = 40x + 125$
Combine the constant terms on the left side:
$48x + 80 = 40x + 125$
Isolate the Variable x
To solve for x, we need to gather all terms involving x on one side and the constant terms on the other side.
Subtract 40x from both sides:
$48x - 40x + 80 = 40x - 40x + 125$
$8x + 80 = 125$
Subtract 80 from both sides:
$8x + 80 - 80 = 125 - 80$
$8x = 45$
Calculate the Value of x
Divide both sides by 8 to find the value of x:
$x = \frac{45}{8}$
Convert the improper fraction to a mixed number. Divide 45 by 8:
- $45 \div 8 = 5$ with a remainder of $5$.
Therefore, the value of x is:
$x = 5\frac{5}{8}$
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$6(8 x+25)-70=5(8 x+25)$
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?
