x:-3=x/4+2 solve and show all steps

Answer 1

To solve the equation, we need to isolate the variable x on one side.

Given: x:-3 = x/4 + 2

First, we can start by getting rid of the fraction by multiplying the entire equation by 4:

4(x:-3) = 4(x/4 + 2)

This simplifies to:

4x/-3 = x + 8

Now we can distribute 4 to both terms on the left side:

(4/1)(x/-3) = x + 8

-4x/3 = x + 8

Next, we can eliminate the fractions by multiplying the entire equation by 3:

3(-4x/3) = 3(x + 8)

This gives us:

-4x = 3x + 24

To isolate x, we need to move 3x to the left side by subtracting 3x from both sides:

-4x - 3x = 3x - 3x + 24

Which simplifies to:

-7x = 24

To solve for x, we divide both sides by -7:

(-7x)/(-7) = 24/(-7)

This gives us:

x = -24/7

Therefore, the solution to the equation is x = -24/7.