Ask question

Ask question

All categories

3 years ago

13

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

1 answer:

Step2247 [10]3 years ago

5 0

Answer:

<h2>x = -3</h2>

Step-by-step explanation:

$3x+2=x+4(x+2)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\3x+2=x+(4)(x)+(4)(2)\\\\3x+2=x+4x+8\qquad\text{combine like terms}\\\\3x+2=(x+4x)+8\\\\3x+2=5x+8\qquad\text{subtract 2 from both sides}\\\\3x+2-2=5x+8-2\\\\3x=5x+6\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\3x-5x=5x-5x+6\\\\-2x=6\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{-2}=\dfrac{6}{-2}\\\\x=-3$

You might be interested in

Janie's bedroom is 12 feet long and 10 feet wide. If she is going to put new baseboards around the entire room, how many feet of

tankabanditka [31]

To answer this we need to perimeter of the room, this is 12 + 12 + 10 + 10 = 44 feet

4 0

3 years ago

Read 2 more answers

Ms. Bradshaw bakes a whole chocolate cake. Logan ate 3/10 of the cake on Monday and 1/10 of the cake on Tuesday. What fraction o

natima [27]

1/10+3/10=4/10
10-4=6
6/10 was left

5 0

2 years ago

A bowl of fruit is on the table. It contains 3 apples, 5 oranges, and 2 pears. Ryan and Kenneth come home from school and, at

Airida [17]

2 out of 8 I think hope it helps

4 0

3 years ago

3a/4+2a/3-a/12<br><br>a. a/3<br>b. 4/3<br>c. (4a)/3

insens350 [35]

Answer: C

Step-by-step explanation:

$\frac{3a}{4}+\frac{2a}{3}-\frac{a}{12}$

Find the least common denominator of 4, 3, and 12.

4-3-12 | 3

4-1-4 | 4

1-1-1 |-------- 12

The first fractions needs to be multiplied by 3, and the second fraction, by 4

$(\frac{(3a)*3}{(4)*3})+(\frac{(2a)*4}{(3)*4})-\frac{a}{12}$

Solve;

$\frac{9a}{12}+\frac{8a}{12}-\frac{a}{12}$

Add the fractions with positive signs and subtract the one with negative sign.

$\frac{(9a+8a)-a}{12}$

Solve;

$\frac{17a-a}{12}=\frac{16a}{12}$

Simplify by 4;

16/4=4

12/4=3

$\frac{4a}{3}$

4 0

3 years ago

Read 2 more answers

The height of a cone-shaped statue is 9 ft, and the diameter is 4 ft.

bogdanovich [222]

<span>37.7
The formula is </span>V=<span><span>π<span>r^2*</span></span><span>h/3, and since r is 4/2, you multiply it by </span></span><span><span>π and then multiply it h/3, which is 9/3, so ((2*3.14)*3)= 37.7.</span></span>

5 0

3 years ago