How do you work out this math problem? 3x+15-9=2 (x+2)

3x + 15 - 9 = 2 (x + 2)

3x + 6 = 2 (x + 2)

3x + 6 = 2x + 4

3x + 6 - 2x = 2x - 2x + 4

x + 6 = 4

x + 6 - 6 = 4 - 6

x = - 2

Simplifying

3x + 15 + - 9 = 2 (x + 2)

Reorder the terms:

15 + - 9 + 3x = 2 (x + 2)

Combine like terms: 15 + - 9 = 6

6 + 3x = 2 (x + 2)

Reorder the terms:

6 + 3x = 2 (2 + x)

6 + 3x = (2 * 2 + x * 2)

6 + 3x = (4 + 2x)

Solving

6 + 3x = 4 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

6 + 3x + - 2x = 4 + 2x + - 2x

Combine like terms: 3x + - 2x = 1x

6 + 1x = 4 + 2x + - 2x

Combine like terms: 2x + - 2x = 0

6 + 1x = 4 + 0

6 + 1x = 4

Add '-6' to each side of the equation.

6 + - 6 + 1x = 4 + - 6

Combine like terms: 6 + - 6 = 0

0 + 1x = 4 + - 6

1x = 4 + - 6

Combine like terms: 4 + - 6 = - 2

1x = - 2

Divide each side by '1'.

x = - 2

Simplifying

x = - 2