Solve for : x 4(x+5)=3(x-2)-2(x+2) the answer is -10 but i just need to know how to get -10 you

Hey there!!

In order to solve this equation, we will have to use the distributive property.

What is distributive property?

We will need to distribute one term to the other terms preset.

Example : 4 ( 3x - 1 )

sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1

( 4 × 3x ) + ( 4 × -1 )

12x + ( -4 )

= 12x - 4

This is after implementing the distributive property.

Now moving back onto the question

4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )

Let us first solve 4 ( x + 5 )

Distribute 4 to x and 5

( 4 × x ) + ( 4 × 5 )

4x + 20

Now let's solve 3 ( x - 2 )

Distribute 3 to x and -2

( 3 × x ) + ( 3 × - 2 )

3x - 6

Solve for -2 ( x + 2 )

Distribute -2 to x and 2

( -2 × x ) + ( -2 × 2 )

-2x - 4

Now, let's get everything back together

4x + 20 = 3x - 6 - 2x - 4

Combine all the like terms

4x + 20 = x - 10

Adding 10 on both sides

4x + 20 + 10 = x - 10 + 10

4x + 30 = x

Subtracting 4x on both sides

4x - 4x + 30 = x - 4x

30 = -3x

Dividing by -3 on both sides

30 / -3 = -3x / -3

- 10 = x

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation:

answer: 100

step-by-step explanation: