Question

-3(-5x+8)-6x=3(x-2)-4 simplify your answer

Answer 1

To solve the equation -3(-5x+8)-6x=3(x-2)-4, distribute the numbers inside the parentheses, combine like terms, and then isolate the variable x, resulting in x = 2 1/3.

Step-by-step explanation:

Let's simplify the algebraic expression -3(-5x+8)-6x=3(x-2)-4.

1. Distribute -3 inside the parentheses: -3(-5x) + -3(8) - 6x, which becomes +15x - 24 - 6x.
2. Combine like terms on the left: 15x - 6x = 9x, so we have 9x - 24.
3. Distribute 3 inside the parentheses on the right: 3(x) + 3(-2) - 4, which simplifies to 3x - 6 - 4.
4. Combine constants on the right: -6 - 4 = -10, so we have 3x - 10.
5. Set the left and right expressions equal to each other: 9x - 24 = 3x - 10.

Subtract 3x from both sides to isolate the x term on one side: (9x - 3x) - 24 = -10, which simplifies to 6x - 24 = -10.

Add 24 to both sides to isolate the x term: 6x - 24 + 24 = -10 + 24, which results in 6x = 14.

Divide both sides by 6 to solve for x: x = 14/6, which can be simplified to x = 7/3 or x = 2 1/3.

The solution to the equation is x = 2 1/3.