Question

(3x-5)/4-(5x-2)/3=x+9

Answer 1

$\frac{3x - 5}{4} - \frac{5x - 2}{3} = x + 9 \: \Big | \times 12 \\ 3(3x - 5) - 4(5x - 2) = 12(x + 9) \\ 9x - 15 - 20x + 8 = 12x + 108 \\ 9x - 20x - 12x = 108 + 15 - 8 \\ - 23x = 115 \\ x = 115 \div ( - 23) \\ \boldsymbol{ x = - 5}$

Answer 2

$\dfrac{3x-5}{4}-\dfrac{5x-2}{3}=x+9\;\;\;|\;\cdot12 \\\\\\ 3(3x-5)-4(5x-2)=12(x+9) \\\\\\ 9x-15-20x+8=12x+108 \\\\\\ 9x-20x-12x=108+15-8 \\\\\\ -23x=115 \\\\\\ x=- \dfrac{115}{23} \\\\\\ x=-5$

Ответ: x = - 5.

Answer 3

To solve the equation (3x - 5)/4 - (5x - 2)/3 = x + 9, you'll need to find the value of x that satisfies this equation. Here are the steps to solve it:

Step 1: Get rid of the fractions. You can do this by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 12.

(3x - 5)/4 * 12 - (5x - 2)/3 * 12 = (x + 9) * 12

Step 2: Simplify the equation:

(3x - 5) * 3 - (5x - 2) * 4 = 12x + 108

Step 3: Expand and simplify the equation further:

9x - 15 - 20x + 8 = 12x + 108

Step 4: Combine like terms on both sides of the equation:

(9x - 20x) + (-15 + 8) = 12x + 108

-11x - 7 = 12x + 108

Step 5: Isolate the variable terms on one side of the equation. You can do this by adding 11x to both sides:

-7 = 23x + 108

Step 6: Next, subtract 108 from both sides to isolate x:

-7 - 108 = 23x

-115 = 23x

Step 7: Finally, divide both sides by 23 to find the value of x:

x = -115/23

So, the solution to the equation is:

x = -115/23