Question

4) −3(4-x) = 2(x - 5).​

Answer 1

$-3(4-x)=2(x-5)\Leftrightarrow -12+3x=2x-10\Leftrightarrow 3x-2x=-10+12\Rightarrow x=2$

Answer 2

To solve the equation −3(4-x) = 2(x - 5), you can follow these steps:

1. Distribute the -3 and 2 on both sides of the equation:

   -3(4 - x) = 2(x - 5)

   This simplifies to:

   -12 + 3x = 2x - 10

2. Now, let's isolate the variable x on one side of the equation. Start by moving the 2x term to the left side by subtracting 2x from both sides:

   -12 + 3x - 2x = -10

   This simplifies to:

   x - 12 = -10

3. Next, add 12 to both sides to isolate x:

   x - 12 + 12 = -10 + 12

   This simplifies to:

   x = 2

So, the solution to the equation is x = 2.