Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question solve the following equation for x. express your answer in the…

Question

question
solve the following equation for x. express your answer in the simplest form.
-8(-x + 7)=8(x - 7)
answer attempt 1 out of 2
the equation has

Explanation:

Step1: Expand both sides

Using the distributive property \(a(b + c)=ab+ac\), we have \(-8(-x + 7)=(-8)\times(-x)+(-8)\times7 = 8x-56\) and \(8(x - 7)=8x-56\). So the equation becomes \(8x - 56=8x - 56\).

Step2: Analyze the equation

Subtract \(8x\) from both sides: \((8x - 8x)-56=(8x - 8x)-56\), which simplifies to \(- 56=-56\). This is a true - statement for all real values of \(x\).

Answer:

Infinitely many solutions