Question

490-x=15×2(x+24)-57=33

Answer 1

490-х=15*2

-х=30-490

-х=-460

х=460

(х+24)-57=33

х+24=33+57

х=90-24

х=66

Answer 2

To solve the equation $490 - x = 15 \times 2(x + 24) - 57 = 33$, we need to simplify and isolate the variable $x$.

Step 1: Distribute the multiplication on the right side of the equation:

$15 \times 2(x + 24) = 30(x + 24)$

Step 2: Combine like terms on the right side:

$30(x + 24) - 57 = 30x + 720 - 57 = 30x + 663$

Now, the equation becomes:

$490 - x = 30x + 663 - 33$

Step 3: Combine constant terms on both sides:

$490 - x = 30x + 630$

Step 4: Move all terms involving $x$ to one side by adding $x$ to both sides:

$490 = 30x + 630 + x$

Step 5: Simplify the right side by combining like terms:

$490 = 31x + 630$

Step 6: Move constant terms to the other side by subtracting $630$ from both sides:

$490 - 630 = 31x$

Step 7: Calculate the result on the left side:

$-140 = 31x$

Step 8: Finally, isolate $x$ by dividing both sides by $31$:

$x = \frac{-140}{31} \approx -4.516$

So the value of $x$ that satisfies the equation is approximately $x \approx -4.516$.