Question 637308
solve the following equation :2(2x+1)+5=3(2x+1)


2 * 2x = 4x

2 * 1 = 2

3 * 2x = 6x

3 * 1 = 3

4x + 2 + 5 = 6x + 3

Combine like terms:

2 + 5 = 7

Therefore:

4x + 7 = 6x + 3

Subtract 6x from each side of the equation.

4x + 7 - 6x = 6x + 3 - 6x

Combine like terms:

4x - 6x = -2x

6x - 6x = 0

-2x + 7 = 3

Subtract 7 from each side of the equation.

-2x + 7 - 7 = 3 - 7

Combine like terms:

7 - 7 = 0

3 - 7 = -4

Therefore:

-2x = -4

Divide each side by -2

-2x/-2 = -4/-2

The Answer:

x = 2




Lennox Obuong
Algebra Student
Email: obuong3@aol.com