4(5x)=(4•5)x
20x=20x
This is the distributive property of multiplication.
To solve the equation 4(5x) = (4 * 5)x step-by-step, follow these steps:
Step 1: Simplify both sides of the equation.
On the left side, multiply 4 by 5x: 4 * 5x = 20x
On the right side, multiply 4 by 5 and then by x: (4 * 5)x = 20x
Step 2: Check if the simplified expressions on both sides are equal.
The simplified expressions on both sides are 20x. So, 20x = 20x.
Step 3: Conclusion.
Since the simplified expressions on both sides are equal, the original equation 4(5x) = (4 * 5)x is true for all values of x.