5x+6 over 4 = 5x+4 soving for linear equation?

(5x+6)/4 =5x+4
multiply both sides by 4 to cancel the 4 in the denominator.
5x+6=4(5x+4)
5x+6=20x+16
then combine like terms. when they cross over to the other side, the numbers pay a toll, which is, they change their signs.
5x+6=20x+16
6-16=20x-5x
-10=15x
divide both sides by 15 to isolate x.
-10/15=x
or
-2/3=x

(5x + 6)/4 = 5x + 4
5x + 6 = 20x + 16
15x = - 10
x = - 2/3

Answer: x = - 2/3

Proof:
(5[- 2/3] + 6)/4 = 5(- 2/3) + 4
(- 10/3 + 18/3)/4 = - 10/3 + 12/3
(8/3)/4 = 2/3
8/12 = 2/3
2/3 = 2/3

(5x+6)/4=5x+4
=>(5x+6)=4(5x+4)
=>(5x+6)=(20x+16)
=>20x-5x=6-16
=>15x=-10
=>x=-10/15
=>x=-2/3

(5x + 6)/4 = 5x + 4
5x + 6 = 4(5x + 4)
5x + 6 = 4*5x + 4*4
5x + 6 = 20x + 16
5x - 20x = -6 + 16
-15x = 10
x = 10/-15
x = -2/3

(5x +6)/4 = 5x +4
first multiply the equation by 4 to eliminate the fraction

5x + 6 = 20x + 16
subtract 20x from both sides
-15x + 6 = 16
subtract 6 from both sides
-15x = 10
divide by -15
x = -10/15
reduce fraction
x= -2/3

(5x +6)/4 = 5x +4

5x + 6 = 20X + 16

6= 15x +16

x = -10/15 = -2/3

(5X+6)/4 = 5X+4
multiply everything by 4 to get rid of the fraction
5x+6 = 4(5x+4)
distribute...
5x+6 = 20x+16
combine like terms. set x to one side, and the whole numbers to the other.
5x -20x = 16-6
solve,
-15x = 10
to get x by itself, divide by NEGATIVE 15 to both sides.
x = -10/15
simplify the fraction
x = -2/3
there ya go

5x + 6 = 20x + 16
- 10 = 15x
x = - 10 / 15
x = - 2 / 3

5x+6=20x+16
-15x=10
x=-2/3