How do I solve 5*(3x+2)=75
5*(3x+2)=75
15x + 10 = 75
15x + 10 - 10 = 75 - 10
15x = 65
x = 65/15
x = 4.3333
Choose the correct simplification of (3xy6)2(y3)3.
To solve the equation 5*(3x+2)=75, you need to isolate the variable x. Here's the step-by-step process:
1. Start by distributing the 5 to the terms inside the parentheses:
5 * 3x + 5 * 2 = 75
15x + 10 = 75
2. Next, isolate the term containing x. In this case, you need to get rid of the constant term (+10) on the left side of the equation. You can do this by subtracting 10 from both sides:
15x + 10 - 10 = 75 - 10
15x = 65
3. To solve for x, you need to isolate it by dividing both sides of the equation by the coefficient of x. In this case, divide both sides by 15:
(15x)/15 = 65/15
x = 65/15
4. The final step is to simplify the solution. In this case, the fraction 65/15 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 5:
x = (65/5) / (15/5)
x = 13/3
So, the solution to the equation 5*(3x+2)=75 is x = 13/3 or approximately 4.33.