Solve for x:
2(3x + 4) + 2 = 4 + 3x

-2

Step-by-step explanation:

Distribute

2

(

3

+

4

)

+

2

=

4

+

3

{\color{#c92786}{2(3x+4)}}+2=4+3x

2(3x+4)+2=4+3x

6

+

8

+

2

=

4

+

3

{\color{#c92786}{6x+8}}+2=4+3x

6x+8+2=4+3x

2

Add the numbers

6

+

8

+

2

=

4

+

3

6x+{\color{#c92786}{8}}+{\color{#c92786}{2}}=4+3x

6x+8+2=4+3x

6

+

1

0

=

4

+

3

6x+{\color{#c92786}{10}}=4+3x

6x+10=4+3x

3

Rearrange terms

6

+

1

0

=

4

+

3

6x+10={\color{#c92786}{4+3x}}

6x+10=4+3x

6

+

1

0

=

3

+

4

6x+10={\color{#c92786}{3x+4}}

6x+10=3x+4

4

Subtract  

1

0

10

10

from both sides of the equation

6

+

1

0

=

3

+

4

6x+10=3x+4

6x+10=3x+4

6

+

1

0

−

1

0

=

3

+

4

−

1

0

6x+10{\color{#c92786}{-10}}=3x+4{\color{#c92786}{-10}}

6x+10−10=3x+4−10

5

Simplify

Subtract the numbers

Subtract the numbers

6

=

3

−

6

6x=3x-6

6x=3x−6

6

Subtract  

3

3x

3x

from both sides of the equation

6

=

3

−

6

6x=3x-6

6x=3x−6

6

−

3

=

3

−

6

−

3

6x{\color{#c92786}{-3x}}=3x-6{\color{#c92786}{-3x}}

6x−3x=3x−6−3x

7

Simplify

Combine like terms

Combine like terms

3

=

−

6

3x=-6

3x=−6

8

Divide both sides of the equation by the same term

3

=

−

6

3x=-6

3x=−6

3

3

=

−

6

3

\frac{3x}{{\color{#c92786}{3}}}=\frac{-6}{{\color{#c92786}{3}}}

33x=3−6

9

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

−

2

answer: i believe c. is the answer sorry if i am wrong

step-by-step explanation: