answer. Express your solution as an integer, a simplified fraction, or a decimal rounded to two decimal places. $$ 8(2 x+5)=7(x+3)+11 $$ vindow)

Question

UpStudy AI · Accepted Answer

1. Begin with the equation:
   $$
   8(2x+5) = 7(x+3) + 11
   $$

2. Distribute on both sides:
   $$
   16x + 40 = 7x + 21 + 11
   $$

3. Combine like terms on the right-hand side:
   $$
   16x + 40 = 7x + 32
   $$

4. Subtract $$7x$$ from both sides to collect the $$x$$-terms on one side:
   $$
   16x - 7x + 40 = 32 \quad \Longrightarrow \quad 9x + 40 = 32
   $$

5. Subtract $$40$$ from both sides to isolate the term with $$x$$:
   $$
   9x = 32 - 40 \quad \Longrightarrow \quad 9x = -8
   $$

6. Divide both sides by $$9$$ to solve for $$x$$:
   $$
   x = \frac{-8}{9}
   $$

Final answer: $$\displaystyle -\frac{8}{9}$$
$$ x = -\frac{8}{9} $$

answer. Express your solution as an integer, a simplified fraction, or a decimal rounded to two decimal places. \[ 8(2 x+5)=7(x+3)+11 \] vindow)