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2 years ago

6(x-2)=5x+3x+8 solve for x.

Mathematics

2 answers:

Aneli [31]2 years ago

6 0

Answer: x=-10

Step-by-step explanation:

6(x-2)=5x+3x+8

6(x−2)=8x+8

6x−12=8x+8

−12=8x+8−6x

−12=2x+8

−12−8=2x

−20=2x

-20/2=x

-10=x

x=-10

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY!

- Cutiepatutie ☺❀❤

Mnenie [13.5K]2 years ago

4 0

Answer:

x = -10

Step-by-step explanation:

6 • (x - 2) - (8x + 8) = 0

Pulling out like terms :

3.1 Pull out like factors :

-2x - 20 = -2 • (x + 10)

Equation at the end of step 3 :

-2 • (x + 10) = 0

Equations which are never true :

4.1 Solve : -2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2 Solve : x+10 = 0

Subtract 10 from both sides of the equation :

x = -10

One solution was found :

x = -10

Processing ends successfully

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Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1

ElenaW [278]

<h2>Hello!</h2>

The answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

$\frac{5}{6}$ and $\frac{10}{12}$

We have that:

$\frac{10}{12}=\frac{5}{6}$

So, we have that the pairs of numbers

$\frac{5}{6}$

and

$\frac{5}{6}$

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Option D.

$\frac{6}{7}$ and $1\frac{5}{7}$

We have that:

$1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}$

So, we have that the pair of numbers

$\frac{6}{7}$

and

$\frac{12}{7}$

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

$\frac{3}{2},\frac{2}{3}$

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$3\frac{1}{2},4\frac{4}{4}$

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

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