Question

((х -3)÷6)-((х+6)÷3)=-5​

Answer 1

Ответ:

15

Объяснение:

$((x-3):6)-((x+6):3)=-5$

$\frac{x-3}{6}-\frac{x+6}{3}=-5$ |*6

$6*(\frac{x-3}{6}-\frac{x+6}{3})=6*(-5)$

$(x-3)-2(x+6)=-30$

$x-3-2x-12=-30$

$-x-15=-30$ |*(-1)

$x+15=30$

$x=30-15$

$x=15$

Answer 2

To solve the equation $((x - 3) / 6) - ((x + 6) / 3) = -5$, follow these steps:

Step 1: Clear the fractions by finding a common denominator, which is 6 in this case. Multiply both sides of the equation by 6 to eliminate the fractions:

6 \cdot \left( \frac{x - 3}{6} \right) - 6 \cdot \left( \frac{x + 6}{3} \right) &= -5 \cdot 6 \\ x - 3 - 2(x + 6) &= -30 \end{align*}\] Step 2: Distribute the -2 on the left side: \[x - 3 - 2x - 12 = -30\] Simplify: \[-x - 15 = -30\] Step 3: Add 15 to both sides to isolate the term with \(x\): \[-x = -15\] Step 4: Multiply both sides by -1 to solve for \(x\): \[x = 15\] So, the solution to the equation is \(x = 15\).