Question

What is the first step in solving this equation? 3(2x + 6) – 4x = 2(5x – 2) + 6 Use the subtraction property of equality to subtract 6 from both sides. Use the addition property of equality to add 4x to both sides. Combine the like terms on each side of the equation. Use the distributive property on each side of the equation.

Answer 1

To solve the equation 3(2x + 6) - 4x = 2(5x - 2) + 6, the first step is to use the distributive property on both sides.

Step-by-step explanation:

To solve the equation 3(2x + 6) - 4x = 2(5x - 2) + 6, we can follow the following steps:

1. Use the distributive property on both sides of the equation. This means multiplying the coefficients by each term within the parenthesis. This will result in: 6x + 18 - 4x = 10x - 4 + 6.
2. Combine like terms on each side of the equation. On the left side, combining the x terms gives us 6x - 4x = 2x. On the right side, combining the constant terms gives us -4 + 6 = 2.
3. Now, we have the equation 2x + 18 = 10x + 2. We can isolate the x term by subtracting 2x from both sides of the equation: 18 = 8x + 2.
4. Finally, subtract 2 from both sides of the equation to get rid of the constant term on the right side: 16 = 8x.

Therefore, the first step in solving the equation is to use the distributive property on both sides.

Answer 2

Use the distributive property

Step-by-step explanation:

bc you have to follow PEMDAS