Solve for x:?

Question

(3/5)(10x – 4) + 1/5 = 49

Answer 1

(3/5)(10x – 4) +(1/5) = 49

Take out fractions by multiplying each side by 5:

Simplifying
(3)(10x + -4) + (1) = 245

Reorder the terms:
3(-4 + 10x) + (1) = 245
(-4 * 3 + 10x * 3) + (1) = 245
(-12 + 30x) + (1) = 245
-12 + 30x + 1 = 245

Reorder the terms:
-12 + 1 + 30x = 245

Combine like terms: -12 + 1 = -11
-11 + 30x = 245

Solving
-11 + 30x = 245

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 11 + 30x = 245 + 11

Combine like terms: -11 + 11 = 0
0 + 30x = 245 + 11
30x = 245 + 11

Combine like terms: 245 + 11 = 256
30x = 256

Divide each side by '30'.
x = 8.533333333

Simplifying
x = 8.533333333

Answer 2

(3/5) (10x - 4) + 1/5 = 49

distribute (3/5) to (10x-4) to eliminate the ( )

30x/5 - 12/5 + 1/5 = 49

30x - 11 = 49 (5)
30x = 256
x = 256/30
or 8 (8/15)

Answer 3

(3/5) (10x - 4) + 1/5 = 49
6x - 12/5 + 1/5 = 49
6x - 11/5 = 49
6x = 49 + 11/5
6x = 51.2
x= 8 whole 8 over 15

Answer 4

I believe the answer is 128/15, or 8.53 in decimal form. What I did was distribute the 3 and got 30x-12 over 5. I then added the 1/5, to the 30x-12 over 5. Since the denominators were already the same, I just added the 1 and got 30x-11 over 5. To get rid of the fraction, I multiplied both sides of the equation by 5 (because whatever you do to one side, you have to to do the exact same to the other side) and it gave me 30x-11 = 245. To isolate the x, I added the 11 to both sides and got 30x = 256. I then divided both sides by 30, which gave me x=256/30 which reduced to 128/15, or as a mixed number, 8 and 8/15, or as a fraction, 8.53.

Answer 5

6x-12/5+1/5=49
6x-11/5=49
Multiply each number by 5

30x-11=245
30x=256
x=8 16/30= 8 8/15

Answer 6

128/15 or 8.53 with the 3 repeating