Question

Nstructions: Solve the following linear equation. 4(6x+3)+6(1-2x)=-18 x

Answer 1

x = -3/5

Explanation:

Our task is to solve this linear equation:

`\sf{4(6x+3)+6(1-2x)=-18 x}`

First, use the distributive property:

`\sf{24x+12+6-12x=-18x}`

Combine like terms:

`\sf{24x+18-12x=-18x}`

`\sf{12x+18=-18x}`

`\sf{12x+18x=-18}`

`\sf{30x=-18}`

`\sf{x=-\cfrac{18}{30}}`

`\sf{x=-\cfrac{9}{15}}`

`\sf{x=-\cfrac{3}{5}}`

Therefore, x = -3/5.

`\hspace{350}\above1`

Answer 2

x = -3/5

Explanation:

24x + 12 + 6 - 12x = -18x

12x + 18 + 18x = 0

30x + 18 = 0

6(5x + 3) = 0

5x = -3

x = -3/5