Question

-6x+7=3(2x-3)-4(-10+4x)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation -6x + 7 = 3(2x - 3) - 4(-10 + 4x), we need to simplify both sides of the equation and then isolate the variable x.

First, distribute the 3 and 4 on the right side:

-6x + 7 = 6x - 9 + 40 - 16x

Combine like terms:

-6x + 7 = -10x + 31

Add 10x to both sides to isolate the x term:

4x + 7 = 31

Next, subtract 7 from both sides:

4x = 24

Finally, divide both sides by 4 to solve for x:

x = 6

Therefore, the solution to the equation -6x + 7 = 3(2x - 3) - 4(-10 + 4x) is x = 6.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the equation -6x+7=3(2x-3)-4(-10+4x), you need to simplify both sides of the equation and then isolate the variable x.

Step 1: Distribute on the right side of the equation:
-6x + 7 = 3(2x - 3) - 4(-10 + 4x)
-6x + 7 = 6x - 9 + 40 - 16x

Step 2: Combine like terms on the right side:
-6x + 7 = -10x + 31

Step 3: Move all terms containing x to one side of the equation:
-6x + 10x = 31 - 7
4x = 24

Step 4: Divide both sides by 4 to isolate x:
4x/4 = 24/4
x = 6

Therefore, the solution to the equation is x = 6.

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation -6x + 7 = 3(2x - 3) - 4(-10 + 4x), you can follow these steps:

Step 1: Distribute the multiplication on both sides of the equation:
-6x + 7 = 6x - 9 - (-40 + 16x)

Simplifying the equation gives:
-6x + 7 = 6x - 9 + 40 - 16x

Step 2: Combine like terms:
-6x + 7 = -10x + 31

Step 3: Move all terms involving x to one side of the equation:
-6x + 10x = 31 - 7

Step 4: Combine like terms again:
4x = 24

Step 5: Divide both sides of the equation by the coefficient of x (4) to solve for x:
x = 24 / 4

Step 6: Simplify the fraction:
x = 6

Therefore, the solution to the equation -6x + 7 = 3(2x - 3) - 4(-10 + 4x) is x = 6.