Question

Solve the equation
(If possible please show work)

Answer 1

`x = - 3`

Explanation:

`- 2( - x - 4) + 3 = - 7 - 4x`

`to \: get \: rid \: of \: the \: parenheses \: \\ distribute \: two \: through \: the \: parentheses`

`2x + 8 + 3 = - 7 - 4x`

`add \: the \: numbers \\ \\2x + 8 + 3 = - 7 - 4x \\ \\ 2x + 11 = - 7 - 4x \\ \\ move \: - 4x \: to \: the \: left - hand \: side \: and\: change \: its \: sign \\ \\ 2x + 4x + 11 = - 7 \\ \\ move \: constant \: to \: the \: right - hand \: side \: and \: change \: its \: sign \\ \\ 2x + 4x = - 7 - 11 \\ \\ 6x = - 18 \\ \\ x = - 3 \\ \\ \\ hope \: this \: helps \:`

MARNIE OUT!

:)

Answer 2

`x=-3`

Explanation:

So we have the equation:

`-2(-x-4)+3=-7-4x`

First, distribute the left side:

`-2(-x)-2(-4)+3=-7-4x\\2x+8+3=-7-4x`

Add values on the left side:

`2x+11=-7-4x`

Add 7 to both sides. The right side cancels:

`(2x+11)+7=(-7-4x)+7\\2x+18=-4x`

Subtract 2x from both sides. The left side cancels:

`(2x+18)-2x=(-4x)-2x\\18=-6x`

Divide both sides by -6:

`(-6x)/-6=18/-6\\x=-3`

Therefore, x equals -3.