Respuesta :
Answer:
4(1 – x) + 2 x = -3( x + 1)
first do 4 time 1= 4
then do 4 times x =4x
now the equation should look like this
4-4x+2x=-3(x+1)
then do the other side of the equation
-3(x+1)
=-3x-3
Now collect the like terms:
-4x-2x
now the equation should look like this
4-2x=-3x-3
now add 3x add on both sides
4-2x+3x=-3
put the 4 on the other side
-2x+3x=-3-4
now again collect the like terms (-2x+3x=1 which is just x and -3-4 =-7)
x=-7
answer
x=-7
Answer:
[tex]x=-7[/tex] PLEASE MARK ME AS BRAINLIEST
Step-by-step explanation:
[tex]4(1-x)+2x=-3(x+1)[/tex]
Distribute 4 through the parentheses
[tex]4-4x+2x=-3(x+1)[/tex]
Distribute -3 through the parentheses
[tex]4-4x+2x=-3x-3[/tex]
Collect like terms
[tex]-4x+2x[/tex]
Collect like terms by calculating the sum or difference of their coefficient
[tex](-4+2)x[/tex]
Calculate the sum
[tex]-2x[/tex]
[tex]4-2x=-3x-3[/tex]
Move variable to the left hand side and change its sign
[tex]4-2x+3x=-3[/tex]
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:
[tex]x+a=b[/tex]
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:
[tex]x+a+(-a)=b+(-a)[/tex]
Simplify the left hand side and remove the parentheses on the right hand side:
[tex]x+a+(-a)=b+(-a)\\x=b-a[/tex]
Now the expression a is on the right hand side :
[tex]x=b-a[/tex]
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:
[tex]x+a=b\\x=b-a[/tex]
This is a shorter way to use the same property.
Now came back to the original equation
[tex]4-2x+3x=-3[/tex]
Move constant to to the right hand side and change its sign
[tex]-2x+3x=-3-4[/tex]
collect like terms
[tex]x=-3-4[/tex]
calculate the difference
[tex]x=-7[/tex]
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:
[tex]x+3=5[/tex]
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:
[tex]x+3+(-3)=5+(-3)[/tex]
Simplify the left-hand side and remove the parentheses on the right - hand side:
[tex]x+3+(-3)=5+(-3)\\x=5- 3[/tex]
Now , all the constants are on the right- hand side:
[tex]x=5-3[/tex]
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:
[tex]x+3=5\\x=5-3[/tex]
This is a shorter way to use the same property.
PLEASE MARK ME AS BRAINLIEST
