Question

What is x 10(1/2x+2)-5=3(x-6)+1

Answer 1

`x = -16`

Explanation:

Step 1: Distribute

`10(1/2x + 2) - 5 = 3(x - 6) + 1`

`(10 * 1/2x) + (10 * 2) - 5 = (3 * x) + (3 * -6) + 1`

`5x + 20 - 5 = 3x - 18 + 1`

Step 2: Combine like terms

`5x + (20 - 5) = 3x + (-18 + 1)`

`5x + 15 = 3x - 17`

Step 3: Subtract 3x from both sides

`5x + 15 - 3x = 3x - 17 - 3x`

`2x + 15 = -17`

Step 4: Subtract 15 from both sides

`2x + 15 - 15 = -17 - 15`

`2x = -32`

Step 5: Divide both sides by 2

`2x / 2 = -32 / 2`

`x = -16`

Answer:
`x = -16`