Question

3×(2x+5)-2×(x-3)=15-(3+x)​

Answer 1

3×(2x+5)-2×(x-3)=15-(3+x)

6x+15-2x+6=15-3-x

6x-2x+6=-3-x

4x+6=-3-x

4x+x=-3-6

5x=-9

x=-9/5

Answer 2

To solve the equation 3×(2x+5) - 2×(x-3) = 15 - (3+x), follow these steps:

Step 1: Distribute the multiplication on both sides of the equation. Step 2: Combine like terms on both sides of the equation. Step 3: Solve for x.

Let's go through each step in detail:

Step 1: Distribute the multiplication

3×(2x+5) = 6x + 15 2×(x-3) = 2x - 6 15 - (3+x) = 15 - 3 - x = 12 - x

Now the equation becomes:

6x + 15 - (2x - 6) = 12 - x

Step 2: Combine like terms

6x + 15 - 2x + 6 = 12 - x

Combine the x terms and constants:

(6x - 2x) + (15 + 6) = 12 - x

Simplify further:

4x + 21 = 12 - x

Step 3: Solve for x

To solve for x, we need to get all the x terms on one side of the equation and the constant terms on the other side. Let's move the -x term to the left side:

4x + x = 12 - 21

Combine the x terms:

5x = -9

Now, to solve for x, divide both sides by 5:

x = -9 / 5

So the solution for the equation is:

x = -9/5 or -1.8