Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

does the equation $9x + 7x + 8 = -4 + 4(3x + 5)$ have one solution, no …

Question

does the equation $9x + 7x + 8 = -4 + 4(3x + 5)$ have one solution, no solutions, or infinitely many solutions? how many solutions does this equation have? solve on paper and enter your answer on zearn. $9x + 7x + 8 = -4 + 4(3x + 5)$ no solutions one solution infinitely many solutions

Explanation:

Step1: Simplify left side

$9x + 7x + 8 = 16x + 8$

Step2: Simplify right side

$-4 + 4(3x + 5) = -4 + 12x + 20 = 12x + 16$

Step3: Set equal, isolate x terms

$16x + 8 = 12x + 16$
$16x - 12x = 16 - 8$

Step4: Solve for x

$4x = 8$
$x = \frac{8}{4} = 2$

Answer:

One solution