Question

2(3x+3)=(2x+2) what is the answer to this equation ?

Answer 1

Simplifying

2(3x + 3) = (2x + 2)

Reorder the terms:

2(3 + 3x) = (2x + 2)

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

(6 + 6x) = (2x + 2)

Reorder the terms:

6 + 6x = (2 + 2x)

Remove parenthesis around (2 + 2x)

6 + 6x = 2 + 2x

Solving

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

Combine like terms: 6x + -2x = 4x

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

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

6 + 4x = 2 + 0

6 + 4x = 2

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

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

Combine like terms: 6 + -6 = 0

0 + 4x = 2 + -6

4x = 2 + -6

Combine like terms: 2 + -6 = -4

4x = -4

Divide each side by '4'.

x = -1

Simplifying

x = -1

Explanation:

Answer 2

2(3x+3)=(2x+2)

multiply the bracket by 2

(2)(3x)=6x

(2)(3)=6

pretend that there is a +1 in front of the second bracket

6x+6=1(2x+2)

multiply the bracket by 1

(1)(2x)=2x

(1)(2)=2

6x+6=2x+2

move 2x to the other side

sign changes from +2x to -2x

6x-2x+6=2x-2x+2 ( combine like terms)

4x+6=2

move 6 to the other side

4x+6-6=2-6

4x=2-6

4x=-4

divide both sides by 4 to get x by itself

4x/4=-4/4

Answer:

x=-1