Question

4688-3) -30X-5 CX-5)

Answer 1

x ≈ 4.3

Explanation:

Distribute the 4 to (8x - 3) and the 5 to (x - 5), like so:

4(8x - 3) - 30x = 5(x - 5)

32x - 12 - 30x = 5x - 25

Add like terms (32x and -30x), like so:

32x - 30x = 2x

2x - 12 = 5x - 25

Subtract 2x from both sides:

2x - 12 = 5x - 25

-2x -2x

____________

-12 = 3x - 25

Add 25 to both sides:

-12 = 3x - 25

+ 25 + 25

____________

13 = 3x

Divide both sides by 3:

4.3 ≈ x

Answer 2

x = 13/3

Explanation:

4(8x-3) - 30x = 5(x-5)

Distribute

32x - 12 - 30x = 5x -25

Combine like terms

2x -12 = 5x-25

Subtract 2x from each side

2x-12-2x = 5x-2x -25

-12 = 3x-25

Add 25 to each side

-12+25 = 3x-25+25

13 = 3x

Divide each side by 3

13/3 = x