contestada

For what value of the variable the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)?

Respuesta :

Answer:

For [tex]x=2[/tex]

Step-by-step explanation:

This problem reduces to solving the equation

[tex]4(5x-8)=2(4-x)+4[/tex]

we expand both sides

[tex]20x-32=8-2x+4[/tex]

rearrange and solve for x:

[tex]22x=8+4+32[/tex]

[tex]22x=44[/tex]

[tex]\boxed{x=2}[/tex]

which is our answer.

An expression [tex]4(5x-8)[/tex] is [tex]4[/tex] more than the value of the expression [tex]2(4-x)[/tex] for [tex]x=2[/tex]

An algebraic expression is one that is obtained by performing a finite number of algebraic operations on symbols that represent numbers.

An algebraic expression is one that is composed of integer constants, variables, and algebraic operations.

An expression [tex]4(5x-8)[/tex] is [tex]4[/tex] more than the value of the expression [tex]2(4-x)[/tex]

Therefore,

[tex]4(5x-8)=4+2(4-x)\\20x-32=4+8-2x[/tex]

       [tex]22x=44[/tex]

           [tex]\boldsymbol{x=2}[/tex]

For more information:

https://brainly.com/question/11227332?referrer=searchResults