Question

1. solve the equation $15x + 3 - 7 - 8x = 2x - 10 + 5x + 6$

a) $x = -4$
b) $x = 7$
c) there are infinitely many solutions
d) there is no solution

Explanation:

Step1: Combine like terms on both sides

Left side: \(15x - 8x + 3 - 7 = 7x - 4\)
Right side: \(2x + 5x - 10 + 6 = 7x - 4\)

Step2: Analyze the simplified equation

We get \(7x - 4 = 7x - 4\). Subtract \(7x\) from both sides: \(-4 = -4\), which is always true. So the equation has infinitely many solutions.

Answer:

C) There are infinitely many solutions