Question

can anybody solve this ​

Answer 1

Answer:

$x = 2$

Step-by-step explanation:

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Answer 2

Let's solve your equation step-by-step.

$\sf \frac{5x+2}{2x+3} =\frac{12}{7}$

Step 1: Cross-multiply.

$\sf \frac{5x+2}{2x+3} =\frac{12}{7}$

$\sf (5x+2)\times (7)=12\times (2x+3)$

$\sf 35x+14=24x+36$

Step 2: Subtract 24x from both sides.

$\sf 35x+14-24x=24x+36-24x$

$\sf 11x+14=36$

Step 3: Subtract 14 from both sides.

$\sf 11x+14-14=36-14$

$\sf 11x=22$

Step 4: Divide both sides by 11.

$\sf \frac{11x}{11} =\frac{22}{11}$

$\sf x=2$

Verification

⇒ $\sf \frac{5x+2}{2x+3} =\frac{12}{7}$

⇒ $\sf \frac{(5\times 2) +2}{(2\times 2)+3} =\frac{12}{7}$

⇒ $\sf \frac{10+2}{4+3}=\frac{12}{7}$

⇒ $\sf \frac{12}{7}=\frac{12}{7}$

∴ $\sf \bf x=2$ in the equation ⇒ $\sf \bf \frac{5x+2}{2x+3} =\frac{12}{7}$.

Additional Information

Algebra is just like puzzles. Here, $\sf x+69 = 70$ we just need to find the value of 'x'. So here 'x' is equal to 1. We can say that the sum of 1 and 69 is 70. Over here 'x' is a variable.

Variable is a value we don't know about and is mostly represented in small alphabets.

Constant has a proper value and can't be changed and they are represented in the form of numbers.