Solve for x: 10x + 5 = 7x - 16

Question

x = __

Answer 1

To solve for x, we need to isolate it on one side of the equation.

Let's start by moving all the terms with x to one side of the equation and the constant terms to the other side.

We can do this by subtracting 7x from both sides:

10x + 5 - 7x = 7x - 16 - 7x

Simplifying the equation:

3x + 5 = -16

Next, we can isolate x by subtracting 5 from both sides:

3x + 5 - 5 = -16 - 5

Simplifying the equation further:

3x = -21

Finally, we can solve for x by dividing both sides of the equation by 3:

3x/3 = -21/3

Simplifying the equation:

x = -7

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

Answer 2

Solve for x: 13x + 24 = 3x - 26
x = __

Answer 3

To solve for x, we need to isolate it on one side of the equation.

Let's start by moving all the terms with x to one side of the equation and the constant terms to the other side.

We can do this by subtracting 3x from both sides:

13x + 24 - 3x = 3x - 26 - 3x

Simplifying the equation:

10x + 24 = -26

Next, we can isolate x by subtracting 24 from both sides:

10x + 24 - 24 = -26 - 24

Simplifying the equation further:

10x = -50

Finally, we can solve for x by dividing both sides of the equation by 10:

10x/10 = -50/10

Simplifying the equation:

x = -5

Therefore, x = -5 is the solution to the equation.

Answer 4

Solve for x: - 12x + 20 = -10x + 32
x = __

Answer 5

To solve for x, we need to isolate it on one side of the equation.

Let's start by moving all the terms with x to one side of the equation and the constant terms to the other side.

We can do this by adding 10x to both sides:

-12x + 20 + 10x = -10x + 32 + 10x

Simplifying the equation:

-2x + 20 = 32

Next, we can isolate x by subtracting 20 from both sides:

-2x + 20 - 20 = 32 - 20

Simplifying the equation further:

-2x = 12

Finally, we can solve for x by dividing both sides of the equation by -2:

-2x/-2 = 12/-2

Simplifying the equation:

x = -6

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

Answer 6

Solve for x: 5x + 2 = 3x - 20
x = __

Answer 7

To solve for x, we need to isolate it on one side of the equation.

Let's start by moving all the terms with x to one side of the equation and the constant terms to the other side.

We can do this by subtracting 3x from both sides:

5x + 2 - 3x = 3x - 20 - 3x

Simplifying the equation:

2x + 2 = -20

Next, we can isolate x by subtracting 2 from both sides:

2x + 2 - 2 = -20 - 2

Simplifying the equation further:

2x = -22

Finally, we can solve for x by dividing both sides of the equation by 2:

2x/2 = -22/2

Simplifying the equation:

x = -11

Therefore, x = -11 is the solution to the equation.

Answer 8

Solve for x: 9x + 16 = 6x + 1

Answer 9

To solve for x, we need to isolate it on one side of the equation.

Let's start by moving all the terms with x to one side of the equation and the constant terms to the other side.

We can do this by subtracting 6x from both sides:

9x + 16 - 6x = 6x + 1 - 6x

Simplifying the equation:

3x + 16 = 1

Next, we can isolate x by subtracting 16 from both sides:

3x + 16 - 16 = 1 - 16

Simplifying the equation further:

3x = -15

Finally, we can solve for x by dividing both sides of the equation by 3:

3x/3 = -15/3

Simplifying the equation:

x = -5

Therefore, x = -5 is the solution to the equation.

Answer 10

Solve for x: 4x - 3 = 3x - 9

Answer 11

To solve for x, we need to isolate it on one side of the equation.

Let's start by moving all the terms with x to one side of the equation and the constant terms to the other side.

We can do this by subtracting 3x from both sides:

4x - 3 - 3x = 3x - 9 - 3x

Simplifying the equation:

x - 3 = -9

Next, we can isolate x by adding 3 to both sides:

x - 3 + 3 = -9 + 3

Simplifying the equation further:

x = -6

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