Question

# Matt said 2x-7=2(x-7) has infinitely many solutions. Is he correct? Justify Matt's answer or show how he is incorrect. _

Equations and inequalities

Matt said $$2x-7=2(x-7)$$ has infinitely many solutions. Is he correct? Justify Matt's answer or show how he is incorrect. _

2021-02-10

1:
$$2x-7+(x-7)$$
2:
$$2x-7=2x-14$$
3:
$$2x-7-2x=2x-14-2x$$
$$-7ne-14$$
4:
$$-7+7ne-14=7$$
$$0ne-7$$
The statement is false there's no solution matt is incorrect