Question

Please help!! I need step by steps!! Thank you

Answer 1

Answer:

Part 1) The numbers are 22,24 and 26

Part 2) The value of x has no solution

Part 3) The value of x has no solution

Part 4) The value of x is $x=-3.5$

Step-by-step explanation:

Part 1)

Let

x ----> the first even number

x+2 ---> the second consecutive even number

x+4 ---> the third consecutive even number

we know that

$2(x)=(x+2)+20$

Solve for x

$2x=x+22$

$2x-x=22$

$x=22$

therefore

The numbers are 22,24 and 26

Part 2) we have

$10x-5-2(x+7)=2(4-x)+10x$

Distribute in the left and the right side to remove the parenthesis

$10x-5-2x-14=8-2x+10x$

Combine like terms

$8x-19=8x+8$

$-19=8$ -----> is not true

therefore

The value of x has no solution

Part 3) we have

$-4x+5-1(x-4)=5x+5+4(1-3x)$

Distribute in the left and the right side to remove the parenthesis

$-4x+5-x+4=5x+5+4-12x$

Combine like terms

$-5x+9=-7x+9$

$-5x=-7x$ -----> is not true

therefore

The value of x has no solution

Part 3) we have

$8-(9x+6)=5x+5+4(1-3x)$

Distribute in the right side to remove the parenthesis

$8-9x-6=5x+5+4-12x$

Combine like terms

$2-9x=-7x+9$

$9x-7x=2-9$

$2x=-7$

$x=-3.5$