Mathematics, 15.12.2020 16:00 jfox8741

Solve for x:
4(1 – x) + 2 x = -3( x + 1)

Answers: 3

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Answers

Answer from: jasmine2555

x=-7 PLEASE MARK ME AS BRAINLIEST

Step-by-step explanation:

4(1-x)+2x=-3(x+1)

Distribute 4 through the parentheses

4-4x+2x=-3(x+1)

Distribute -3 through the parentheses

4-4x+2x=-3x-3

Collect like terms

-4x+2x

Collect like terms by calculating the sum or difference of their coefficient

(-4+2)x

Calculate the sum

-2x

4-2x=-3x-3

Move variable to the left hand side and change its sign

4-2x+3x=-3

Why move an expression to the right?

We want to move an expression to the right to write the equation in a specific way.

The opposite needs to be added to both sides to preserve the relation between the sides. That is called the addition and subtraction property of equality/inequality

Step 1

Example

take the equation:

x+a=b

We want the expression a to be on the right hand side of the equation.

Step 1

example(cont)

To move the expression to the right -hand side, use the addition property , and add -a to both sides of the equation:

x+a+(-a)=b+(-a)

Simplify the left hand side and remove the parentheses on the right hand side:

$x+a+(-a)=b+(-a)\\x=b-a$

Now the expression a is on the right hand side :

x=b-a

Step 2:

Notice! when comparing the beginning and the ending equation, it seems like we just moved the expression to the right hand side and changed its sign:

$x+a=b\\x=b-a$

This is a shorter way to use the same property.

Now came back to the original equation

4-2x+3x=-3

Move constant to to the right hand side and change its sign

-2x+3x=-3-4

collect like terms

x=-3-4

calculate the difference

x=-7

Why move a constant to the right?

We want to move a constant to the right because the mathematicians agreed upon a convention that the constants in the equation and inequalities always need to be on the right-hand side.

The opposite needs to be added to both sides to preserve the relation between the sides. That is called the addition and subtraction property of equality/inequality.

Step 1

example

Take the equation:

x+3=5

We want the constant 3to be on the right hand side of the equation.

Step 1

example (cont)

To move the constant to the right-hand side, use the addition property, and add -3 to both sides of the equation:

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

Simplify the left-hand side and remove the parentheses on the right - hand side:

$x+3+(-3)=5+(-3)\\x=5- 3$

Now , all the constants are on the right- hand side:

x=5-3

Step 2

Notice! when comparing the beginning and the ending equation, it seems like we just moved the constants to the right hand side and change its sign:

$x+3=5\\x=5-3$

This is a shorter way to use the same property.

PLEASE MARK ME AS BRAINLIEST

Answer from: Quest

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

hope to and hope that my answer is brainliest.(follow me )

Answer from: Quest

i found two solutions, n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

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