Question

1 - 3 (x - 5) = ( 5x - 12) / 2

Answer 1

1-3x+15=2.5x-6
22=5.5x
x=4

Answer 2

x = 4

Explanation:

`\sf 1 - 3 (x - 5) = (( 5x - 12) )/(2)`

Distribute -3 to open parenthesis.

`\sf 1 - 3x + 15 = (( 5x - 12) )/(2)`

Simplify like terms:

`\sf -3x + 16 = (( 5x - 12) )/(2)`

Multiply both sides by 2.

`\sf 2 (-3x + 16) = (( 5x - 12) )/(2) \cdot 2`

Distribute 2 to open parenthesis.

-6x + 32 = 5x - 12

Add 6x on both sides:

-6x + 32 + 6x = 5x - 12 + 6x

32 = 11x - 12

Add 12 on both sides.

32 + 12 = 11x - 12 + 12

44 = 11x

Divide both sides by 11.

`(44)/(11)=(11x)/(11)`

4 = x.

Therefore, the value of x is 4.