How many solutions can be found for the equation?

Question

5x + 3(x − 1) = 10x − 2x − 3



Show your calculations or write/record an explanation to justify your answer.
just show calculations

Answer 1

To solve the equation \( 5x + 3(x - 1) = 10x - 2x - 3 \), we can start by simplifying both sides.

1. Start with the left side: \[ 5x + 3(x - 1) = 5x + 3x - 3 = 8x - 3 \]

2. Now simplify the right side: \[ 10x - 2x - 3 = 8x - 3 \]

3. Now we rewrite the equation with the simplified expressions: \[ 8x - 3 = 8x - 3 \]

4. Now, we can see that both sides of the equation are equal. This implies that the equation holds true for all values of \( x \).

Thus, the number of solutions is infinitely many.