Question

question
solve for x:
-3x - (7x + 4) = -4(3x + 1)

Explanation:

Step1: Simplify both sides

First, distribute the negative sign on the left and the -4 on the right:
Left side: $-3x - 7x - 4$ (because $-(7x + 4) = -7x - 4$)
Right side: $-12x - 4$ (because $-4(3x + 1) = -12x - 4$)
So the equation becomes: $-3x - 7x - 4 = -12x - 4$

Step2: Combine like terms on the left

Combine $-3x$ and $-7x$:
$-10x - 4 = -12x - 4$

Step3: Add $12x$ to both sides

To get the x terms on one side:
$-10x + 12x - 4 = -12x + 12x - 4$
Simplify: $2x - 4 = -4$

Step4: Add 4 to both sides

To isolate the x term:
$2x - 4 + 4 = -4 + 4$
Simplify: $2x = 0$

Step5: Divide both sides by 2

To solve for x:
$\frac{2x}{2} = \frac{0}{2}$
Simplify: $x = 0$

Answer:

$x = 0$