5x-4(3-2x)=2(3x-2)+6

Answer 1

To solve the equation, we need to simplify both sides and then isolate the variable.

Let's start by simplifying the equation:

5x - 4(3 - 2x) = 2(3x - 2) + 6

First, distribute the -4 on the left side and the 2 on the right side:

5x - 12 + 8x = 6x - 4 + 6

Combine like terms:

13x - 12 = 6x + 2

Next, move all the terms containing x to one side of the equation by subtracting 6x from both sides:

13x - 6x - 12 = 6x - 6x + 2

Simplify:

7x - 12 = 2

Finally, move the constant term to the other side by adding 12 to both sides:

7x - 12 + 12 = 2 + 12

Simplify:

7x = 14

To isolate x, divide both sides by 7:

(7x)/7 = 14/7

Simplify:

x = 2

So the solution to the equation is x = 2.