4x - 7 = 8x + 33

7 answers

To solve the equation 4x - 7 = 8x + 33, we can start by simplifying both sides of the equation.

On the left side, we have 4x - 7.

On the right side, we have 8x + 33.

To simplify the left side, we don't have anything else to do. It remains as 4x - 7.

To simplify the right side, we don't have any like terms to combine, so it also remains as 8x + 33.

Now, we can solve for x by isolating x on one side of the equation. We'll do this by moving all the terms with x to one side and the constants to the other side.

Let's move the 8x term from the right side to the left side by subtracting 8x from both sides of the equation:

4x - 7 - 8x = 8x + 33 - 8x.

This simplifies to:

-4x - 7 = 33.

Next, let's move the constant term of -7 from the left side to the right side by adding 7 to both sides:

-4x - 7 + 7 = 33 + 7.

This simplifies to:

-4x = 40.

To solve for x, we need to isolate x by moving the constant term of -4 to the other side of the equation. We can do this by dividing both sides of the equation by -4:

(-4x)/-4 = 40/-4.

This simplifies to:

x = -10.

Therefore, the solution to the equation 4x - 7 = 8x + 33 is x = -10.
-x -3 =4x +27
To solve the equation -x - 3 = 4x + 27, we can start by simplifying both sides of the equation.

On the left side, we have -x - 3.

On the right side, we have 4x + 27.

To simplify the left side, we can rewrite -x as -1x. So, the left side becomes -1x - 3.

To simplify the right side, we don't have any like terms to combine, so it remains as 4x + 27.

Now, we can solve for x by isolating x on one side of the equation. We'll do this by moving all the terms with x to one side and the constants to the other side.

Let's move the 4x term from the right side to the left side by subtracting 4x from both sides of the equation:

-1x - 3 - 4x = 4x + 27 - 4x.

This simplifies to:

-5x - 3 = 27.

Next, let's move the constant term of -3 from the left side to the right side by adding 3 to both sides:

-5x - 3 + 3 = 27 + 3.

This simplifies to:

-5x = 30.

To solve for x, we need to isolate x by moving the constant term of -5 to the other side of the equation. We can do this by dividing both sides of the equation by -5:

(-5x)/-5 = 30/-5.

This simplifies to:

x = -6.

Therefore, the solution to the equation -x - 3 = 4x + 27 is x = -6.
7x - 7 = 9x - 23
To solve the equation 7x - 7 = 9x - 23, we can start by simplifying both sides of the equation.

On the left side, we have 7x - 7.

On the right side, we have 9x - 23.

Now, let's isolate x by moving all the terms with x to one side and the constants to the other side.

To move the 9x term from the right side to the left side, we can subtract 9x from both sides of the equation:

7x - 9x - 7 = 9x - 9x - 23.

This simplifies to:

-2x - 7 = -23.

Next, let's move the constant term of -7 from the left side to the right side by adding 7 to both sides:

-2x - 7 + 7 = -23 + 7.

This simplifies to:

-2x = -16.

To solve for x, we need to isolate x by moving the constant term of -2 to the other side of the equation. We can do this by dividing both sides of the equation by -2:

(-2x)/-2 = -16/-2.

This simplifies to:

x = 8.

Therefore, the solution to the equation 7x - 7 = 9x - 23 is x = 8.
12x + 4 = 9x + 22

What is x
To solve the equation 12x + 4 = 9x + 22, we can start by simplifying both sides of the equation.

On the left side, we have 12x + 4.

On the right side, we have 9x + 22.

Now, let's isolate x by moving all the terms with x to one side and the constants to the other side.

To move the 9x term from the right side to the left side, we can subtract 9x from both sides of the equation:

12x - 9x + 4 = 9x - 9x + 22.

This simplifies to:

3x + 4 = 22.

Next, let's move the constant term of 4 from the left side to the right side by subtracting 4 from both sides:

3x + 4 - 4 = 22 - 4.

This simplifies to:

3x = 18.

To solve for x, we need to isolate x by dividing both sides of the equation by 3:

(3x)/3 = 18/3.

This simplifies to:

x = 6.

Therefore, the solution to the equation 12x + 4 = 9x + 22 is x = 6.