Question

6. Solve each equation and check your solution. 3x - 6 = 4(2 - 3x) - 8x

1/2z + 6 = 3/2(z + 6)
9 - 7w = 8w + 8

Answer 1

To solve the equation 3x - 6 = 4(2 - 3x) - 8x, combine like terms and simplify the equation step-by-step. The solution is x = 14/23. Verify the solution by substituting it back into the original equation.

Step-by-step explanation:

To solve the equation 3x - 6 = 4(2 - 3x) - 8x, we need to combine like terms and simplify the equation step-by-step. Here's how:

1. Distribute the 4 to both terms inside the parentheses: 3x - 6 = 8 - 12x - 8x
2. Combine like terms: 3x - 6 = -20x + 8
3. Add 20x to both sides: 3x + 20x - 6 = -20x + 20x + 8
4. Simplify: 23x - 6 = 8
5. Add 6 to both sides: 23x - 6 + 6 = 8 + 6
6. Simplify: 23x = 14
7. Divide both sides by 23: 23x/23 = 14/23
8. Simplify: x = 14/23

To check if the solution is correct, substitute x = 14/23 back into the original equation and see if both sides are equal.

Answer 2

Multiple answers (Work & answers below)

Step-by-step explanation: