Question

4(x-7)+10=5x-2(2x-5)

Answer 1

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Answer 2

$4x - 28 + 10 = 5x - 4x + 10 \\ 4x - 5x + 4x = 28 - 10 + 10 \\ 3x = 28 \\ x = \frac{28}{3}$

Answer 3

Let's solve the equation step-by-step:

1. Distribute the values inside the parentheses on both sides of the equation:

On the left side: 4(x - 7) + 10 = 4x - 28 + 10 = 4x - 18

On the right side: 5x - 2(2x - 5) = 5x - 4x + 10 = x + 10

Now the equation becomes:

4x - 18 = x + 10

2. Move all the x terms to one side of the equation by subtracting x from both sides:

4x - x - 18 = x - x + 10

Simplifying further:

3x - 18 = 10

3. Now, isolate x by moving the constant term to the other side of the equation. Add 18 to both sides:

3x - 18 + 18 = 10 + 18

Simplifying:

3x = 28

4. Finally, solve for x by dividing both sides by 3:

x = 28 / 3

The final value of x is approximately 9.3333 (rounded to four decimal places).