139k views
1 vote
2(3x+3)=(2x+2) what is the answer to this equation ?

User Urgotto
by
7.7k points

2 Answers

4 votes

Answer:

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:

User KostaZ
by
7.8k points
3 votes

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

User Timothy Baldwin
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories