Question

1) x = 3x-4 2) x-2(x+4)=3+3x

Answer 1

1) х-3х=-4

-2х=-4 разделим обе стороны уравнения на -2

х=2

Answer 2

Let's solve each equation step by step:

1. x = 3x - 4

To solve this equation, we'll isolate the variable x on one side of the equation:

x - 3x = -4 -2x = -4

Next, we'll divide both sides of the equation by -2 to solve for x:

-2x / -2 = -4 / -2 x = 2

Therefore, the solution to the equation x = 3x - 4 is x = 2.

2. x - 2(x + 4) = 3 + 3x

Let's simplify the equation first by applying the distributive property:

x - 2x - 8 = 3 + 3x

Combine like terms on both sides:

-x - 8 = 3 + 3x

Next, let's isolate the x terms on one side by adding x to both sides and adding 8 to both sides:

-x + x - 8 = 3x + x + 8 -8 = 4x + 8

Now, let's isolate the 4x term by subtracting 8 from both sides:

-8 - 8 = 4x + 8 - 8 -16 = 4x

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

-16 / 4 = 4x / 4 -4 = x

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