Question

(2x+3)/4-(3x+5)/5=0.1

Answer 1

Объяснение:

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Answer 2

To solve the equation $\frac{2x+3}{4}-\frac{3x+5}{5}=0.1$, we can follow these steps:

Step 1: Get rid of the fractions by finding a common denominator for both terms on the left-hand side. The common denominator for 4 and 5 is 20.

Step 2: Multiply each term by the appropriate factor to clear the fractions:

$\frac{2x+3}{4} \cdot \frac{5}{5} - \frac{3x+5}{5} \cdot \frac{4}{4} = 0.1 \cdot 20$

This simplifies to:

$\frac{10x+15}{20} - \frac{12x+20}{20} = 2$

Step 3: Combine the fractions on the left-hand side:

$\frac{10x+15 - 12x-20}{20} = 2$

Simplify the expression:

$\frac{-2x-5}{20} = 2$

Step 4: Multiply both sides of the equation by 20 to isolate the variable:

$-2x - 5 = 40$

Step 5: Add 5 to both sides:

$-2x = 45$

Step 6: Divide by -2:

$x = -\frac{45}{2}$

So, the solution to the equation is $x = -\frac{45}{2}$, which is approximately $x = -22.5$.