Solve the following equation

15-4x=2(3+1)

5x-1=8x+1

1 answer

To solve the equation 15-4x=2(3+1), we can solve it step by step:

15 - 4x = 2(3 + 1)

First, let's simplify the equation on the right side:

15 - 4x = 2(4)

Now, we distribute the 2 to both terms inside the parentheses:

15 - 4x = 8

Next, let's isolate the variable on one side of the equation. Since -4x is currently on the left side, we need to get rid of it. We can do this by subtracting 15 from both sides of the equation:

15 - 4x - 15 = 8 - 15

Simplifying the left side: 15 - 15 = 0
Simplifying the right side: 8 - 15 = -7

So, we have:

-4x = -7

Finally, let's solve for x by dividing both sides of the equation by -4:

-4x / -4 = -7 / -4

Simplifying the left side: x = -7 / -4
Simplifying the right side: -7 / -4 = 7/4 or 1.75

Therefore, the solution to the equation 15-4x=2(3+1) is x = 7/4 or x = 1.75.

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To solve the equation 5x - 1 = 8x + 1, we can follow these steps:

5x - 1 = 8x + 1

First, let's isolate the variable terms on one side of the equation. Since both 5x and 8x are on opposite sides, we can move 5x to the right side by subtracting it from both sides:

5x - 5x - 1 = 8x - 5x + 1

Simplifying the left side: 0 - 1 = -1
Simplifying the right side: (8x - 5x) + 1 = 3x + 1

So, we have:

-1 = 3x + 1

Next, let's isolate the variable term on the right side of the equation. We can do this by subtracting 1 from both sides:

-1 - 1 = 3x + 1 - 1

Simplifying the left side: -2
Simplifying the right side: 3x

So, we have:

-2 = 3x

Finally, let's solve for x by dividing both sides of the equation by 3:

-2 / 3 = 3x / 3

Simplifying the left side: -2/3
Simplifying the right side: 3x/3 = x

Therefore, the solution to the equation 5x - 1 = 8x + 1 is x = -2/3.