Question

5x - 7x + 6 = -2 (x - 3)
Or... Are there no solutions or infinite solutions

Answer 1

there are no solutions

Explanation:

5x−7x+6=−2(x−3)

Step 1: Simplify both sides of the equation.

5x−7x+6=−2(x−3)

5x+−7x+6=(−2)(x)+(−2)(−3)(Distribute)

5x+−7x+6=−2x+6

(5x+−7x)+(6)=−2x+6(Combine Like Terms)

−2x+6=−2x+6

−2x+6=−2x+6

Step 2: Add 2x to both sides.

−2x+6+2x=−2x+6+2x

6=6.

Step 3: Subtract 6 from both sides.

6−6=6−6

0=0

there for there are no solutions