Final answer:
Multiply both sides of the equation 35x=12 by 35/12 × 20 in order to get the equivalent equation x=20.
Step-by-step explanation:
To find what number each side of the equation 35x=12 must be multiplied by to produce the equivalent equation x = 20, we need to perform algebraic operations. First, to isolate x, we would divide both sides by 35, which gives us x = 12/35. Next, to get x to equal 20, we multiply both sides by the multiplicative inverse of 12/35, which is the number that, when multiplied by 12/35, gives 1. The multiplicative inverse of 12/35 is 35/12. Multiplying x = 12/35 by 35/12 will result in x = 1. Finally, to get from x = 1 to x = 20, we simply multiply both sides by 20. Therefore, we need to multiply both sides of 35x = 12 by 35/12 × 20 to get to the equivalent equation x = 20.