Twice a number, increased by 3 is the same as five less than four times a number. what is the number?

x = 4, hope this helps!

Step-by-step explanation:

2x + 3 = 4x - 5

-2x -2x

3 = 2x -5

+5 +5

8 = 2x

divide by 2 on both sides

4 = x

switch where the x and 4 is, because teachers seem to like that

x = 4

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)