Question

How do I solve and justify
3x-1=12x-4

Answer 1

solve means find the unknown so find x by isolating it in the equation. do this by combining all terms with x using algebra.

3x-1=12x-4 (take 3x to same side as 12x)
-1=12x-3x-4 (take -4 to other side and combine 3x and 12x)
-1+4=9x
3=9x (divide both sides of equation by 9 to isolate x)
x= 1/3

to justify, plug x=1/3 back into original equation and see if left side equals right side (if it does, you did the question right)

3x-1=12x-4
3(1/3)-1=12(1/3)-4
3/3 - 1 = 12/3 - 4
1-1=4-4
0=0 (justified since both sides are equal)

Answer 2

Thank youu can you help me with this one 5n=-4n+18

Answer 3

yeah sure

Answer 4

you essentially do the same thing...

5n=-4n + 18 (bring n terms to same side)
5n + 4n = 18
9n = 18 (divide both sides by 9)
n=18/9
n=2

to verify, plug n back into equation...

5n=-4n+18

5(2) = -4(2)+18
10 = -8+18
10=10 (both sides are equal so x really is 2)