Question

Which expressions are equivalent to 5(15x+7) = 3(x-4)? Select three options.

A) 5x + 3x + 35 - 12
B) 5x + 47
C) (1/5)x + 35 - (1.5/12)x
D) 6x + (9 - 17) - (3 * 2x) + (3 * 14)
E) 15x + 35 - 12x - 12

Answer 1

To find equivalent expressions to 5(15x+7) = 3(x-4), we can distribute the 5 and the 3 to the terms inside the parentheses and simplify the equation by combining like terms.

Step-by-step explanation:

To find equivalent expressions to 5(15x+7) = 3(x-4), we can distribute the 5 and the 3 to the terms inside the parentheses.

This gives us 75x+35 = 3x-12.

Next, we can simplify the equation by combining like terms. Subtracting 3x from both sides gives us 72x+35 = -12.

Lastly, subtracting 35 from both sides gives us 72x = -47. These three expressions are equivalent:

1. 5x + 3x + 35 - 12
2. 5x + 47
3. (1/5)x + 35 - (1.5/12)x