Question

8(12x+37)+5(27-15x)=638

Answer 1

8(12x+37)+5(27-15x)=638

96х + 296 + 135 - 75х = 638

21х = 207

х = 207 / 21 = 69/7

Answer 2

To solve the equation 8(12x + 37) + 5(27 - 15x) = 638, follow these steps:

Step 1: Distribute the terms Multiply the numbers outside the parentheses with the terms inside them.

8 * 12x = 96x 8 * 37 = 296

5 * 27 = 135 5 * (-15x) = -75x

The equation becomes: 96x + 296 + 135 - 75x = 638

Step 2: Combine like terms Combine the x terms and the constant terms separately.

(96x - 75x) + (296 + 135) = 638

21x + 431 = 638

Step 3: Isolate x To solve for x, we want to get rid of the constant term on the left side. Subtract 431 from both sides.

21x = 638 - 431

Step 4: Calculate 21x = 207

Step 5: Solve for x Divide both sides by 21 to find the value of x.

x = 207 / 21 x = 9.857 (rounded to three decimal places)

So, the solution to the equation is x ≈ 9.857.