All categories

3 years ago

1/3(6x-15)=1/2(10x-4) solve for x

Mathematics

1 answer:

Tatiana [17]3 years ago

8 0

Simplify 1/3(6x - 15) to 6x - 15/3

6x - 15/3 = 1/2(10x - 4)

Factor out the common term; 3

3(2x - 5)/3 = 1/2(10x - 4)

Cancel out 3

2x - 5 = 1/2(10x - 4)

Simplify 1/2(10x - 4) to 10x - 4/2

2x - 5 = 10x - 4/2

Factor out the common term; 2

2x - 5 = 2(5x - 2)/2

Cancel out 2

2x - 5 = 5x - 2

Subtract 2x from both sides

-5 = 5x - 2 - 2x

Simplify 5x - 2 - 2x to 3x - 2

-5 = 3x - 2

Add 2 to both sides

-5 + 2 = 3x

Simplify -5 + 2 to -3

-3 = 3x

Divide both sides by 3

- 1 = x

Switch sides

You might be interested in

Can someone explain this to me.

almond37 [142]

Answer:

option D

$3*(\sqrt{x}+\sqrt{x-3})$

Step-by-step explanation:

Given in the question an expression,

$\frac{9}{\sqrt{x} -\sqrt{x-3}}$

Step 1

Divide and multiple by $\sqrt{x}+\sqrt{x-3}$ to remove radical sign from denominator.

$\frac{9}{\sqrt{x} -\sqrt{x-3}}*\frac{\sqrt{x} +\sqrt{x-3}}{\sqrt{x} +\sqrt{x-3}}$

Step 2

Apply a² - b² = (a+b)(a-b)

$\frac{9*\sqrt{x}+\sqrt{x-3}}{\sqrt{x^{2}}-\sqrt{(x-3)^{2}}}}$

Step 3

$\frac{9*\sqrt{x}+\sqrt{x-3}}{x-x+3}$

Step 4

$\frac{9*\sqrt{x}+\sqrt{x-3}}{3}$

Step 5

$3*(\sqrt{x}+\sqrt{x-3})$

7 0

3 years ago

Question

Mariana [72]

Answer:

It would cost $18 to ride the taxi 10 miles.

4 0

2 years ago

Read 2 more answers

Marge cut 16 pieces of tape each at 3/8 inches long. How much tape did Marge<br> Cut!

photoshop1234 [79]

Answer:

she cut 6 inches of tape

Step-by-step explanation:

you can start by multiplying 3/8 and 6/1 which gives you 6

3 0

3 years ago

Read 2 more answers

What is the first step to solve this equation: -3x + 11 = 44

Verdich [7]

You subtract the 11 from both sides, then you get -3x = 33. Next, you divide -3 from both sides, and you get x= -11

7 0

3 years ago

Select all the ordered pairs that are solutions to the system.

miv72 [106K]

Answer:

WHAT DOES BRAINLEST MEAN???

Step-by-step explanation:

5 0

3 years ago