QUESTION $$ 24 \cdot 1 $$ POINT Solve the following equation for $$ x $$ : $$ 6(x+4)-3=-6+1(x-8) $$

Question

UpStudy AI · Accepted Answer

Start by expanding and simplifying both sides of the equation:

6(x + 4) - 3 = -6 + 1(x - 8)

Step 1: Distribute the 6 on the left side and the 1 on the right side:
 6x + 24 - 3 = x - 8 - 6

Step 2: Combine like terms on both sides:
 6x + 21 = x - 14

Step 3: Get all x terms on one side by subtracting x from both sides:
 6x - x + 21 = -14
 5x + 21 = -14

Step 4: Isolate the variable by subtracting 21 from both sides:
 5x = -14 - 21
 5x = -35

Step 5: Solve for x by dividing both sides by 5:
 x = -35 / 5
 x = -7

Thus, the solution to the equation is x = -7.
$$ x = -7 $$

QUESTION \( 24 \cdot 1 \) POINT Solve the following equation for \( x \) : \( 6(x+4)-3=-6+1(x-8) \)